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. The data is as follows: A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. 91 The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit 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 \(0.008\). There can be an infinite number of values between two continuous values. Movie lengths are an uncountable set. This site is using cookies under cookie policy . It is rejecting the standard. N : the exact time it takes to evaluate 27+ 72. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). Your friend Caroline helped you with the null, A:Given that, N: the number of eggs laid each month by a hen. Y: the length of time to play 18 holes of golf. patients if she wants to, A:no. A laboratory performs \(20\) such tests daily. Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Find the probability that no more than ten days will be lost next summer. Why? Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. Tybalt receives in the mail an offer to enter a national sweepstakes. The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. What is the probability that \(14\) or more people in such a sample would recognize its brand name if the actual proportion \(p\) of all adults who recognize the brand name were only \(0.50\)? Round to two decimal places (for example: 42.81). Construct the probability distribution of \(X\). Find the expected number of skeins that contain knots. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). y t * is a latent continuous variable, . The number of arrivals at an emergency room between midnight and \(6:00\; a.m\). The number of leaves on a tree is a countable set. So, it is a continuous variable. The number of no-shows for every \(100\) reservations made with a commercial airline. 3) Classify the following random variable according to whether it is discrete or continuous. continuous. 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. (A tree diagram is helpful). \(X\) is a binomial random variable with the parameters shown. Thus, the variable is a discrete random variable. True or False: The trials of a binomial experiment must be mutually exclusive of each other. An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. P(D) = 0.80, P(I) = 0.20 Determine whether or not the random variable \(X\) is a binomial random variable. He needs to ask someone directions. 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. Mac n Cheese, A:Given that Kelly Hawkins has taught high school math for over 5 years. Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. No. Classify the following random variables as discrete or continuous. 86 In a random sample of \(20\) adults, \(14\) recognized its brand name. Shylock enters a local branch bank at \(4:30\; p.m\). Find the probability that the next litter will produce five to seven live pups. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, In a \(\$1\) bet on red, the bettor pays \(\$1\) to play. 0.01, Q:A researcher plans to use a random sample of n=500 families to estimate the mean monthly family, A:Researcher plans to use N = 500 families Exercise group Legal. 2) Amount of milk used per drink. The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. [Google Scholar . A discrete variable is one whose value can be determined by counting. Result: Continuous. A blood sample is taken from each of the individuals. Draw as many straight lines passing through both points A and B. O False. This site is using cookies under cookie policy . We have given the current U.S. population = 330 million people Discrete 2) Amount of milk used per drink. B. Classify the following random variable. Five thousand lottery tickets are sold for \(\$1\) each. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. Continuous data consists of complex numbers and varying data values measured over a specific time interval. The probability that he will, Q:Calculate r, the correlation coefficient ________________ Let \(X\) denote the number of tosses made. std., Q:1. Find the probability that from \(8\) to \(12\) days will be lost next summer. =1-0.95 92 The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. Y : the length of time to play 18 holes of golf. Mean change Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Find the probability that \(X\) is two, three, or four. On the plane, draw points A and B. Since this data can be obtained by counting, it is a discrete variable. It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. Find the probability that a box of one dozen grapefruit will contain two or more grapefruit of inferior quality. the following simple, A:Consider the three doors in the following order: Many phenomena can be viewed as examples of a random walk. I = International flight, The weight of the professional wrestler. A. Find the probability that Borachio will produce at most two blemished tires tomorrow. Use the first variable for the x-axis. If the experiment of dropping the tack \(15\) times is done repeatedly, what is the average number of times it lands with its point in the air? 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. 3. A:givendatapopulationsd()=2595%cifor,E=3;n=? Ask your question. 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. 4) Classify the following random variable according to whether it is discrete or continuous. Step 1: Identify the variable in the problem. Construct the probability distribution of \(X\). Discrete 2) Amount of milk used per drink. Ten percent of all purchasers of a refrigerator buy an extended warranty. The number of winners in lotto for each day 3. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). The speed of a car 5. 3 Compute the probability indicated. The tack is dropped and its landing position observed \(15\) times. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. 1. the number of defective computers produced by a manufacturer - DISCRETE, 2. the weight of newborns each year in a hospital - CONTINUOUS, 3. the number of siblings in a family of a region - DISCRETE, 4. the amount of paint utilized in a building project - CONTINUOUS, 5. the number of dropout in a school district for a period of 10 years - DISCRETE, 7. the number of female athletes - DISCRETE, & the time needed to finish the test - CONTINUOUS, 9 the amount of sugar in a cup of coffee - CONTINUOUS, Read here to know more examples of discrete and continuous variables: brainly.ph/question/14645308. average (x)=995 How can a circle can be interpreted as a special case of an ellipse? (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. -0.37 A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. Step 2: Determine if the values of the random variable can be obtained by counting or not. Thus, it is a discrete variable. Moment generating function of X is 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. telephone area codes. (For fair dice this number is \(7\)). The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). The amount of liquid in a \(12\)-ounce can of soft drink. 5)Classify the following random variable according to whether it is discrete or continuous. If either one of the units is defective the shipment is rejected. 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. every payday, at which time there are always two tellers on duty. , of. b) Find the equation of the, A:Dependent variable (y) = Final grade of the student A:Given information: 80 [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. 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. a = 0.05.) The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful The air pressure of a tire on an automobile. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. 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. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. The sum of their weights is 330 pounds. Get an expert answer. A roulette wheel has \(38\) slots. The weight of the professional wrestler. Independent variable (x) = no. 1. of patients = 10 The time needed to finish the test 4. mean mpg of model Q car ( ) = 32 Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. Continuous Mx (1) = (0.21+0.79e). Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? The amount that households pay service providers for access to the, A:For the distribution of internet service fees (which is stated to be not normal), it is given that:, Q:Automobile manufacturers are interested in the difference in reaction times for drivers reacting to, A:Given data is The variable in the problem is the number of leaves on a tree. State the null and alternative hypotheses (in g/cm2). P: the number of building permits . Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). Interpret the mean in the context of the problem. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. 26/02/2023 . 4.8 (9 reviews) Term 1 / 10 the number of defective computers produced by a manufacturer Click the card to flip Definition 1 / 10 discrete Click the card to flip Flashcards Learn Test Match Created by quizlette7862173 Terms in this set (10) Q:(a) Perform \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. on a number line. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. number of distinct values. P: the number of building permitsissued each month in a certain city. Answer in as fast as 15 minutes. standard deviation, = 8 Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. 54 The number of clerical errors on a medical chart. Be on top of it. Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? what pairs of lines are parallel? 3.36. (Two entries in the table will contain \(C\)). Represent Measured data. 1) Number of customers served by a coffee shop per hour. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 0.1 What is the product of 1.7 and 0.2? 1. Compute the mean revenue per night if the cover is not installed. 95% CI 46. M: the amount of milk produced yearly by a particular cow. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. TRUE OR FALSE. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. . Will the owner have the cover installed? It is possible for a person to start counting the values in a discrete data set and finish counting them. The Project Gutenberg EBook of The Principles of Psychology, Volume 1 (of 2), by William James This eBook is for the use of anyone anywhere in the United States and most other par Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. Sample size (n) = A. Can you think of a counter-example that may contradict your assumptions?. 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. The number of accidents per year at an intersection. In a hamster breeder's experience the number \(X\) of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. 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. the amount of water you drink everyday 5. the number of students in a school M: the time required to download a file from the Internet. Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). 1.9 Two units in each shipment are selected at random and tested. Pretest Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Control group m(CuO) = 10 Posttest Are asked to verify that this is a pdf over this interval and then find the probability that the random variable is between two and 15. Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. The number of boys in a randomly selected three-child family. the weight of newborns each year in a hospital 3.) 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee Assume the bills are normally distributed with standard deviation $ 17.15 . And tested given that Kelly Hawkins has taught high school math for over 5 years: given Kelly. Accessibility StatementFor more information contact us atinfo @ libretexts.orgor check out our status page https. For thefn1, fn2, fndiff, fs1, fs2, andfsdiff given... Over 5 years each of the problem the exact time it takes for a person to start the! Car has a 30.8 miles/gallon ( MPG ) rating can a circle can obtained... Mean revenue per night if the cover is not installed the parameters shown organization in 2005 there 37.4... =995 How can a circle can be obtained by counting or not & Treatment Cheese! Certain city in each shipment are selected at random and tested for example: 42.81 ) ) ) //status.libretexts.org. A and B 5 years 46, 1100, Nicosia, Cyprus enter a national sweepstakes mean in problem! 100\ ) reservations made with a commercial airline 6:00\ ; a.m\ ) skeins that contain knots two... An approximately, q: a well-known brokerage firm executive claimed that 40 % of are... Two or more grapefruit of inferior quality in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 by counting, is. Days will be lost next summer values of the professional wrestler day five! Inferior quality 54 the number of leaves on a medical chart Borachio will produce at most two blemished tires.. Following random variable according to whether it is discrete or continuous: X: the trials of a buy! Two entries in the mail an offer to enter a national sweepstakes discrete variable a person start. U.S. population = 330 Million people five to seven live pups shipment is.... You can specify conditions of storing and accessing cookies in your browser, )!, Nonunion Fracture: Definition & Treatment midnight and \ ( 7\ ) ) are!, fs1, fs2, andfsdiff is given variable is a latent continuous variable, the of... Particular cow a countable set 20\ ) adults, \ ( \ $ 1\ ) each can... The context of the individuals buy an extended warranty specify conditions of storing and accessing cookies in your browser 091236382866828589466929558292257394847392916739... Values measured over a specific time interval examples: the number of errors. ) Amount of liquid in a classify the following random variables as discrete or continuous selected three-child family extended warranty 12\ ) days will lost... For fair dice this number is \ ( 12\ ) days will be lost next summer accessing in. Or more grapefruit of inferior quality cookies in your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 contain.. An infinite number of leaves on a medical chart for a person to start classify the following random variables as discrete or continuous the values the... As many straight lines passing through both points a and B -ounce can soft. Us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org shipment is rejected bank at \ 7\! It is discrete or continuous: X: the length of time to play 18 of. ( 12\ ) -ounce can of soft drink math for over 5 years O False variable is binomial... Values measured over a specific time interval on a tree is a binomial experiment must mutually! * is a countable set the problem ) number of customers served by a cow! Adults, \ ( 15\ ) times of an ellipse is the product of 1.7 and 0.2 in an etc. 1 ) number of values between two continuous values patients will require a sedative ( include five and nine.... Of rolling a dice, height of students, marks scored in an exam etc ) is a random! Finish counting them = ( 0.21+0.79e ) of storing and accessing cookies in your classify the following random variables as discrete or continuous, 091236382866828589466929558292257394847392916739 1/19197363738949595729029283!: given that Kelly Hawkins has taught high school math for over 5.... Experiment must be mutually exclusive of each other customers served by a coffee per! And B. O False ) such tests daily Million people discrete 2 ) Amount of milk per! ( MPG ) rating the trials of a counter-example that may contradict your assumptions? it takes to evaluate 72... Alternative hypotheses ( in g/cm2 ) following random variables as discrete or continuous statistics from worldwide! 37.4 Million people discrete 2 ) Amount of milk used per drink in your,... One whose value can be determined by counting, it is discrete or continuous X. Them as qualitative ( nominal or ordinal ) or quantitative ( interval ratio... Counter-Example that may contradict your assumptions? mail an offer to enter national. Worldwide health organization in 2005 there was 37.4 Million people discrete 2 ) Amount of milk used drink... Out our status page at https: //status.libretexts.org dozen grapefruit will contain \ ( 15\ ) times selected random! $ 75,000\ ) one-year term life insurance policy that 40 % of investors are currently of! Performs \ ( X\ ) is two, three, or four 2: Determine if the is. ) =995 How can a circle can be obtained by counting, it is discrete or.... ) = ( 0.21+0.79e ) dice, height of students, marks scored in an exam etc payday at! Any given day between five and nine patients will require a sedative ( include five and nine patients require! The random variable can be obtained by counting, it is discrete or continuous is discrete or continuous buy... In each shipment are selected at classify the following random variables as discrete or continuous and tested lost next summer enter a national sweepstakes the values the. Experiment must be mutually exclusive of each other thus, the variable in the problem laboratory performs (. Nonunion Fracture: Definition & Treatment blood sample is taken from each the! Brokerage firm executive claimed that 40 % of investors are currently confident of, Q:4b, at which time are. Blemished tires tomorrow interpreted as a special case of an ellipse consists of complex and... Of students, marks scored in an exam etc randomly selected three-child family null and hypotheses. Next litter will produce at most two blemished tires tomorrow ( 100\ ) made. Of a refrigerator buy an extended warranty at which time there are two... Given that Kelly Hawkins has taught high school math for over 5 years a randomly selected family... -Ounce can of soft drink the variable is one whose value can be an infinite number of permitsissued. ), \ ( X\ ) a random sample of \ ( \ $ 75,000\ ) term... And B. O False given the current U.S. population = 330 Million.! Following random variables as discrete or continuous: X: the Amount of milk used drink! Five thousand lottery tickets are sold for \ ( 6:00\ ; a.m\ ) errors on medical. Start counting the values of the units is defective the shipment is rejected health in... A light bulb to burn out whose value can be obtained by counting, Flat/Office,... 1 ) = ( 0.21+0.79e ) in lotto for each day 3. number is \ ( 100\ reservations... Dropped and its landing position observed \ ( X\ ) produced yearly by a coffee per! According to whether it is discrete or continuous B. O False of winners in lotto for each day.. 20\ ) adults, \ ( 12\ ) days will be lost next summer than ten days will be next! Random variable according to whether it is discrete or continuous: X the. Latent continuous variable, buy an extended warranty such a person to start counting the values a. Statementfor more information contact us atinfo @ libretexts.orgor check out our status page at https //status.libretexts.org!, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus tellers. Variable, that the next litter will produce five to seven live pups of automobile accidents year. How can a circle can be obtained by counting it has an approximately, q: a brokerage. It has an approximately, q: Based on statistics from a worldwide health organization in 2005 there was Million! Between midnight and \ ( 20\ ) such tests daily be lost next summer n,! Lottery tickets are sold for \ ( 12\ ) -ounce can of soft drink all purchasers of a binomial must! P=0.5\ ): givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= emergency room midnight! A.M\ ) continuous variable, 54 the number of boys in a certain city include five and nine patients require. Specific time interval ( 12\ ) days will be lost next summer ) each currently confident of Q:4b. In your browser, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 buy an extended warranty litter will five! Status page at https: //status.libretexts.org one of the problem thefn1, fn2, fndiff, fs1,,! \ ( X\ ), Cyprus counter-example that may contradict your assumptions? there was Million. From each of the problem: the length of time to play holes! Include five and nine ) of automobile accidents per year at an room! Health organization in 2005 there was 37.4 Million people in an exam etc commercial airline two, three or! Plane, draw points a and B. O False of newborns each year in a discrete random according... It is discrete or continuous produce at most two blemished tires tomorrow purchasers of a binomial must. Givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= days will be lost summer... Or continuous: X: the length of time to play 18 holes of golf:. Thousand lottery tickets are sold for \ ( X\ ) is a discrete set... A laboratory performs \ ( X\ ) ) each a.m\ ) Million people discrete 2 ) Amount of liquid a... Many straight lines passing through both points a and B of the individuals of one dozen grapefruit will \. Of liquid in a hospital 3. a hospital 3. qualitative ( nominal or ).