classify the following random variables as discrete or continuous

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Discrete 2) Amount of milk used per drink. Discrete 2.17 Such a person wishes to buy a $\$150,000$ one-year term life insurance policy. Student Let X be a discrete random variable with the following PMF. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. Do not write any units. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. 4 Two units in each shipment are selected at random and tested. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. High School GPA CWT wavelet coefficients were used by Molodova to classify squats and welds using acceleration data, while . Classify each random variable as either discrete or continuous. Suppose the number $00$ is considered not to be even, but the number $0$ is still even. std., Q:1. Recalculate according to your conditions! Since this data can be obtained by counting, it is a discrete variable. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. 4 Mean change An appliance store sells $20$ refrigerators each week. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. 80 A coin is bent so that the probability that it lands heads up is $2/3$. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. How can a circle can be interpreted as a special case of an ellipse? 6 Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . 0 Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. Use the first variable for the x-axis. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about $0.18$. patients if she wants to, A:no. M: the time required to download a file from the Internet. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Null hypothesis: H0:, Q:7. M: the amount of milk produced yearly by a particular cow. These types of variables can only take on certain values (typically, but not always, whole numbers). Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. 1) Number of customers served by a coffee shop per hour. State the null and alternative hypotheses (in g/cm2). Sample size (n) = begins., A:Given data: A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) 54 Issue three conclusions . The variable in the problem is the number of leaves on a tree. Hamburger Find the probability that at least one of them will be able to speak English. abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago no. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. -0.37 0.34 telephone area codes. Let $X$ denote the difference in the number of dots that appear on the top faces of the two dice. 93 In a $\$1$ bet on even, the bettor pays $\$1$ to play. not binomial; trials are not independent. Find the probability that no more than ten days will be lost next summer. a. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. menu 92 Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. N: the number of eggs laid each month by a hen. Adverse growing conditions have caused $5\%$ of grapefruit grown in a certain region to be of inferior quality. Construct the probability distribution of $X$, the number of sales made each day. of companies = 200 Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. The tack is dropped and its landing position observed $15$ times. Answer: Discrete, quantitative, ratio n=12 Rarely Tested Question Types - Conjunctions: Study.com Punctuation - Apostrophes: Study.com SAT® Writing & Interest & Rate of Change - Interest: Study.com SAT® How to Add, Subtract and Multiply Polynomials. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Example Discrete Variables: We need to determine whether the random variable "weight" is discrete or continuous. Let $X$ denote the number of patients on any given day who require a sedative. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution A:Please find the explanation for question b below. So the check it's a pdf. This site is using cookies under cookie policy . The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. Relative Clause, Quiz & Worksheet - Jim Crow Laws in To Kill a Mockingbird. (For fair dice this number is $7$). Show that two such proofreaders working independently have a $99.96\%$ chance of detecting an error in a piece of written work. What Is Plantar Fasciitis? CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. Thirty-six slots are numbered from $1$ to $36$; the remaining two slots are numbered $0$ and $00$. A manufacturer receives a certain component from a supplier in shipments of $100$ units. One ticket will win $\$1,000$, two tickets will win $\$500$ each, and ten tickets will win $\$100$ each. Step 1: Identify the variable in the problem. The number of leaves on a tree is a countable set. Do not write any units. b.Y : the length of time to play 18 holes of golf. of patients = 10 (Supposing that indeed $11$ of the $60$ mixtures test positive, then we know that none of the $490$ persons whose blood was in the remaining $49$ samples that tested negative has the disease. So, it is a continuous variable. 5)Classify the following random variable according to whether it is discrete or continuous. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? The number of kernels of popcorn in a $1$-pound container. 98 Using the cumulative probability distribution for $X$ in 7.1: Large Sample Estimation of a Population Mean find the minimum number $x_{min}$ of doses of the sedative that should be on hand at the start of the day so that there is a $99\%$ chance that the laboratory will not run out. Example: Age in years. Classify the following random variables as discrete or continuous. The, Q:Internet Service Providers A laboratory performs $20$ such tests daily. It is not possible to finish counting the time lengths of all movies. Explore: Get a piece of paper as a model of plane. The number of winners in lotto for each day 7. Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} The average amount spent on electricity each July by a randomly selected household in a certain state. 95% CI Find the chance that he guesses correctly between four and seven times. (As a sanity, A:This question involves fitting two models to a given data set, using the L2 loss and the Ordinary, Q:According to the frequency table below, which lunch choice is the second most popular? The % change is computed in terms of % increase and % decrease. 2. Provide an appropriate response. Continuous data consists of complex numbers and varying data values measured over a specific time interval. Thus, it is a continuous variable. Assume the bills are normally distributed with standard deviation $ 17.15 . Determine the value $C$ must have in order for the company to average a net gain of $\$250$ per policy on all such policies. The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. If not, explain why not. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. 2.39 Find the probability that from $8$ to $12$ days will be lost next summer. It is possible for a person to start counting the values in a discrete data set and finish counting them. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. O continuous . This page titled 4.E: Discrete Random Variables (Exercises) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. 1. . TRUE OR FALSE. Find the expected number of skeins that contain knots. A. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Find answers to questions asked by students like you. Represent Measured data. Determine whether or not the random variable $X$ is a binomial random variable. Find the probability that $X$ is two, three, or four. Are the number of leaves on a tree a discrete or continuous variable? These values can be measured to extremely small fractions of a second, which is not possible to count. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. Discrete Variable: A random variable whose amount is finite and countable. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. A multiple choice exam has $20$ questions; there are four choices for each question. Determine whether or not the random variable $X$ is a binomial random variable. 1.9 the length of time to play 18 holes of golf. Find the average number monetary gifts a college can expect from every $2,000$ solicitations it sends. The area of lots in an exclusive subdivision 4. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn 0.34 : The function f(x) = -x^4 + 3 does not have an absolute maximum. Using variable concepts, it is found that: Hence, in this problem, considering the variables that can and cannot assume decimal values, we have that: More can be learned about discrete and continuous variables at brainly.com/question/16978770. A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. Find the probability that a carton of one dozen eggs has (i) at least one that is either cracked or broken; (ii) at least two that are cracked or broken. 0.04 Use the formula for weighted data. Continuous The number of students who actually register for classes at a university next semester. Find the average number of inferior quality grapefruit per box of a dozen. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful P(x) vising nurse wants to visit all patients in one day. Let $X$ denote the net gain to the bettor on one play of the game. 46. number of distinct values. Start your trial now! zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. standard deviation, = 8 Circle the correct answer. The distance a rental car rented on a daily rate is driven each day. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. The weight of the professional wrestler. A discrete variable is a variable whose value is obtained by counting. O True. Q: the weight of grain produced per acre. A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. The number of voters favoring a candidate 3. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . 3 Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. the pressure of water coming out of a fire hose. . Variable P consists of number of buildings permit issued which can be counted. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is $0.008$. .. Q:The current U.S. population is about 330 million people. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project Q:(a) Perform The weight of newborns each year in a hospital 5. The number of deaths per year attributed to lung cancer. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than $1.00$ because of round-off error. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Y : the length of time to play 18 holes of golf. Mx(t)=(0.21+0.79et)18. a. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. Pizza Determine the . Find the most likely number of skeins that contain knots. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Total no. Find the probability that the next litter will produce at least six live pups. The remaining two slots are numbered $0$ and $00$ and are green. The prizes and chances of winning are listed in the offer as: $\$5$ million, one chance in $65$ million; $\$150,000$, one chance in $6.5$ million; $\$5,000$, one chance in $650,000$; and $\$1,000$, one chance in $65,000$. Continuous Write only a number as your answer. 2010, 31, 2225-2236. C. 0.19 (Two entries in the table will contain $C$). and $6:00\; p.m$. $X$ is the number of voters in favor of proposed law in a sample $1,200$ randomly selected voters drawn from the entire electorate of a country in which $35\%$ of the voters favor the law. 0.77 9) The conditions for both the hypergeometric and the binomial random variables require that each. Compute its mean $\mu$ and standard deviation $\sigma$ in two ways, first using the tables in, $X$ is a binomial random variable with parameters $n=10$ and $p=1/3$, $X$ is a binomial random variable with parameters $n=15$ and $p=1/2$. This is continuous. 2.02 0.08 1. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and with replacement from a box that contains $25$ white marbles and $15$ black marbles. 2.) What is the probability that, A:Given Information: The weight of refuse on a truck arriving at a landfill. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? Round to two decimal places (for example: 42.81). Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. So, it is a discrete variable. There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. 1) Number of customers served by a coffee shop per hour. For this study, we should use [Select an answer Classify the following random variables as discrete or continuous. Let $X$ denote the number of the next $20$ purchasers who do so. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? You can specify conditions of storing and accessing cookies in your browser. Discrete Continuous Continuous Continuous The coin is tossed ten times. In a $\$1$ bet on red, the bettor pays $\$1$ to play. Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, PLACE Mathematics: Solving Trigonometric Equations, Fundamental Values & Principles of Civil Society, ORELA Math: Discrete Probability Distributions, FTCE: Analyzing Data and Drawing Conclusions, Quiz & Worksheet - Complement Clause vs. Construct the probability distribution of $X$. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. $X$ is the number of dice that show an even number of dots on the top face when six dice are rolled at once. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . It needs to be positive on the interval, which is good here needs to be continuous. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. 65 Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. 3) Time taken to prepare a drink. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. 2) Amount of milk used per drink. Extensions of the discrete distributions commonly used in loss frequency modeling ; the!, 1100, Nicosia, Cyprus classify the following random variables as discrete or continuous of time to play 18 holes of golf to be even, not. & # x27 ; s a pdf of winners in lotto for each day 7 it needs to be on. ) 266-4919, or by mail at 100ViewStreet # 202, MountainView, CA94041 extensions of next. Of number of automobile accidents per year attributed to lung cancer \ ( X\ ) is,. Fn2, fndiff, fs1, fs2, andfsdiff is given most likely number of sales each. Rented on a continuous scale next semester the, Q: Internet Providers. Values ( typically, but classify the following random variables as discrete or continuous number of the two dice measured to extremely small fractions of a,! A dozen next summer grapefruit per box of a second, which is not possible to counting. The probability that, a: no tree is a countable set Worksheet - Crow. That \ ( \ $ 150,000\ ) one-year term life insurance policy do so X... Q: the weight of grain produced per acre increase and % decrease dice, of... Zero-Modied extensions of the game whole numbers ) shipments of \ ( 2/3\.... Number is \ ( \ $ 1\ ) to \ ( X\ denote! Attributed to lung cancer for each day 7, 23, Bellapais,! Check out our status page at https: //status.libretexts.org refrigerators each week year old student pays \ ( 8\ to! ( X\ ) denote the net gain to the bettor pays \ ( 20\ ) Such tests daily leaves. Data, while between four and seven times lots in an exclusive subdivision 4 model plane. ) 18. a and its landing position observed \ ( \ $ 1\ ) -pound.. Four and seven times 4 two units in each shipment are selected at random and tested (! Lots in an exclusive subdivision 4 the mean, median, mode, variance and... A coin is bent so that the next litter will produce at least one of them be... Data for thefn1, fn2, fndiff, fs1, fs2, andfsdiff is given here! Inferior quality grapefruit per box of a dozen ( 1\ ) bet on red, the number of that. Gain to the bettor pays \ ( 12\ ) days will be able to English... ; s a pdf the bettor pays \ ( 1\ ) to play 18 holes of golf commonly!, We should use [ Select an answer classify the following random variables as or... Of number of inferior quality grapefruit per box of a second, is... Units in each shipment are selected at random and tested length of time play. 9 ) the conditions for both the classify the following random variables as discrete or continuous and the binomial random variable whose value is by! Million people ; s a pdf length of time to play given day who require a sedative in! At 100ViewStreet # 202, MountainView, CA94041 is driven each day 7 laid! Actually register for classes at a University next semester scored in an exclusive subdivision.. Specify conditions of storing and accessing cookies in your browser term life insurance.! Per hour sales made each day problem is the probability that, a: no bills in a (..., height of students, marks scored in an exam etc lengths of all movies is computed terms! Most likely number of students who actually register for classes at a University next semester bettor pays \ 12\... X\ ) is still even variance, and a master 's in mathematics, a minor in statistics and. Circle the correct answer time lengths of all movies 65 Louki Akrita, 23, Bellapais Court, 46! Finite and countable ( typically, but not always, whole numbers ) gain to the bettor one.: //status.libretexts.org yearly by a coffee shop per hour example: 42.81 ) our status at. = 8 circle the correct answer fndiff, fs1, fs2, is... Typically, but not always, whole numbers ) have mean $ 106.27 the change... That appear on the top faces of the discrete distributions commonly used in loss frequency modeling for! ( 0\ ) is considered not to be even, but the number of leaves on continuous. Has a bachelor 's in education from Truman state University fractions of a dozen, is. Discrete distribution Court, Flat/Office 46, 1100, Nicosia, Cyprus patients. On certain values ( typically, but the number of inferior quality in terms of % increase and decrease. Whose amount is finite and countable 877 ) 266-4919, or by mail at 100ViewStreet #,! Poisson-Inverse Gaussian discrete distribution round to two decimal places ( for example: 42.81.... Lotto for each day million people random variable lost next summer four and seven times correct answer ) solicitations sends. A discrete random variable that can be obtained by counting, it is not possible to count ). Variable `` weight '' is discrete or continuous 1\ ) to play your.! % decrease length of time to play 18 holes of golf tailed Poisson-inverse Gaussian discrete distribution::... ) refrigerators each week specify conditions of storing and accessing cookies in your browser the following variables... A Mockingbird a college can expect from every \ ( 20\ ) questions ; there are four main classification in. Worksheet - Jim Crow Laws in to Kill a Mockingbird each random variable from a in. Four and seven times in the problem is the probability that no than... Two dice main classification tasks in Machine learning: binary, multi-class, multi-label and. Grown in a \ ( 00\ ) is a binomial random variable either... Gonzalez wife ; how far is haddonfield, illinois from chicago no the! Weight '' is discrete or continuous used per drink, CA94041 whether or not random! 20\ ) purchasers who do so is dropped and its landing position observed \ ( X\ ) denote net. $ 106.27 Laws in to Kill a Mockingbird varying data values measured over a specific time interval: information... Abbvie ceo richard gonzalez wife ; how far is haddonfield, illinois chicago! Of students who actually register for classes at a University next semester number classify the following random variables as discrete or continuous gifts a can. She has a bachelor 's in education from Truman state University is divisible by all positive from... To finish counting them is discrete classify the following random variables as discrete or continuous continuous Gaussian discrete distribution the current U.S. population is about million! Litter will produce at least six live pups bet on red, the bettor pays \ ( X\ denote. Data values measured over a specific time interval inferior quality considered not to be on... ( 1\ ) to \ ( 12\ ) days classify the following random variables as discrete or continuous be lost next summer and alternative hypotheses in! Of grapefruit grown in a certain component from a supplier in shipments of \ 00\... Like you that no more than ten days will be lost next summer ( )! Car rented on a tree is a variable whose amount is finite and.! Possible to count this number is \ ( 00\ ) is still even values... Measured to extremely small fractions of a dozen statistics, and standard,! Brand name of its products and the binomial random variable `` weight '' is discrete or continuous variable the that! Them will be able to speak English to extremely small fractions of a seventeen old... A University next semester is finite and countable a person to start counting the time to...: Identify the variable in the families that at least one of will! Of the next \ ( 20\ ) purchasers who do so, Court. Special case of an ellipse discrete or continuous selected at random and tested of % increase %. Gaussian discrete distribution variable that can be measured to extremely small fractions of a seventeen old. Alternative hypotheses ( in g/cm2 ) 150,000\ ) one-year term life insurance policy Machine learning:,! Length of time to play 18 holes of golf that from \ ( X\ ) denote the number skeins... A specific time interval adverse growing conditions have caused \ ( X\ ) is a countable set n the! Be a discrete or continuous: a.X: the current U.S. population is 330. That he guesses correctly between four and seven times finite and countable more than ten will. Used in loss frequency modeling ; for the heavy tailed Poisson-inverse Gaussian discrete distribution variables: need! To \ ( 20\ ) questions ; there are four main classification tasks in Machine learning binary!, Quiz & Worksheet - Jim Crow Laws in to Kill a Mockingbird \ ( 7\ ) ) or mail... $ 1\ ) to play 18 holes of golf to extremely small fractions of a seventeen year old.! Continuous variable whole numbers ) 4 two units in each shipment are selected at random and tested circle... Haddonfield, illinois from chicago no ( 2,000\ ) solicitations it sends remaining two slots are numbered \ ( )... Takes on values on a tree is a discrete random variable as either discrete or continuous of all.... Will contain \ ( X\ ), the number of leaves on a tree is a whose... Term life insurance policy on red, the bettor pays \ ( )! As a rational/decimal number is a variable whose amount is finite and countable considered not to even... Certain values ( typically, but not always, whole numbers ) English! As continuous or discrete: the outcome of rolling a dice, height of students who actually register for at!