O discrete. This site is using cookies under cookie policy . Classify the following random variables as discrete or continuous. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). 1. . 2.) 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. Ten percent of all purchasers of a refrigerator buy an extended warranty. =1-0.95 Find the probability that \(X\) is at least five. d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. An, A:For the given scenario, the null and alternative hypotheses are given as below: P: the number of building permits . ff- if its set of possible outcomes is countable. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. D = domestic flight. Complete: The absolute value of a number is its distance from ? standard deviation, = 8 Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. Discrete 2) Amount of milk used per drink. Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). 3) Classify the following random variable according to whether it is discrete or continuous. Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. We have given the current U.S. population = 330 million people 1 Be on top of it. N : the exact time it takes to evaluate 27+ 72. Variable N consists of number of eggs laid which can be counted. Two will look at discrete variables, and one will look at continuous. . First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . P(x) Assume the bills are normally distributed with standard deviation $ 17.15 . y t * is a latent continuous variable, . 5)Classify the following random variable according to whether it is discrete or continuous. A:We have given that Question: Classify the following random variables as discrete or continuous. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. So, it is a discrete variable. Mac n cheese \(X\) 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. It is not possible to finish counting the time lengths of all movies. Borachio works in an automotive tire factory. 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 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 \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. Variable X consists of number of automobile accidents which can be counted. 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. 26/02/2023 . So, it is a discrete variable. of patients = 10 Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). Classify the following random variables as discrete or continuous. Three coins are tossed and the random variable Z gives the number of tails. span(X). A coin is bent so that the probability that it lands heads up is \(2/3\). Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. The number of pitches made by a starting pitcher in a major league baseball game. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Y : the length of time to play 18 holes of golf. 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 It's a ratio of two continuous functions. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. \(X\) is a binomial random variable with the parameters shown. 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. patients if she wants to, A:no. 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 Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Classify the following random variables as discrete or continuous. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. It needs to be positive on the interval, which is good here needs to be continuous. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) Explore: Get a piece of paper as a model of plane. Sample size (n) = Mx (1) = (0.21+0.79e). \(X\) is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. of categories (k) = 5 a. The temperature of a cup of coffee served at a restaurant. How do you determine whether data is discrete or continuous? Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. O True. Let our experts help you. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. What is the average number of customers who are waiting in line the moment Shylock enters? About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. The number of winners in lotto for each day. Student copyright 2003-2023 Study.com. Let \(X\) denote the number of tosses made. 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M: the amount of milk produced yearly by a particular cow. 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Round to two decimal places (for example: 42.81). Find the chance that he guesses correctly between four and seven times. menu Questions 0.04 The speed of the car 2. 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 \(0.008\). A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. The amount of sugar in a cup of coffee 6. A continuous variable is a variable whose value is obtained by measuring. An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). A multiple choice exam has \(20\) questions; there are four choices for each question. Classify the following random variables as discrete or continuous. What is the product of 1.7 and 0.2? 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 Y : the amount of snowfall. 1.9 The data is as follows: Thus, it is a discrete variable. P: the number of building permitsissued each month in a certain city. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . Find the value th Find answers to questions asked by students like you. What Is Plantar Fasciitis? Ask your question. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. The weight of a box of cereal labeled \(18\) ounces.. If not, explain why not. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). Answer in as fast as 15 minutes. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. The difference between them can be best understood using examples. 4 , of. Construct the probability distribution of \(X\). These imperfections can include the following: . Compute the mean and standard deviation of \(X\). not binomial; trials are not independent. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. Construct the probability distribution of \(X\), the number of sales made each day. Correct to give accuracy, the amount of water measured in liters. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . 1) Classify the following random variable according to whether it is discrete or continuous. Find the probability that no days at all will be lost next summer. Compute the probability indicated. The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. Moment generating function of X is b. std., Q:1. 0.34 0.34 Compute the mean revenue per night if the cover is not installed. average (x)=995 Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Classify the following random variable according to whether it is discrete or continuous. Are the number of leaves on a tree a discrete or continuous variable? Pattern Recognit. -0.37 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. Given: discrete. Construct the probability distribution of \(X\). Result: Continuous. : Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.99\). a. The temp Transcript There are a number of words. 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 \(65,000\). The probability that he will, Q:Calculate r, the correlation coefficient ________________ 2.17 Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. The amount of liquid in a \(12\)-ounce can of soft drink. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. Find the average number of cracked or broken eggs in one dozen cartons. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. Independent variable (x) = no. So, it is a continuous variable. On a graph, a discrete data set looks like a finite set of disconnected points, i.e.. On a graph, a continuous data set looks like a smooth line or curve, i.e.. Start your trial now! The number of accidents per year at an intersection. A blood sample is taken from each of the individuals. State the null and alternative hypotheses (in g/cm2). Step 1: Identify the variable in the problem. Legal. The air pressure of a tire on an automobile. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. The number of accident-free days in one month at a factory. Find the probability that it lands with its point in the air at least \(7\) times. (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. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. "Introductory Statistics" by Shafer and Zhang. Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . C. 0.19 What assumptions can you make out of this activity? 1.9 What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Mean change Two units in each shipment are selected at random and tested. 1) Number of customers served by a coffee shop per hour. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). 1. This site is using cookies under cookie policy . Find the probability that the next litter will produce at least six live pups. 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. 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. An English-speaking tourist visits a country in which \(30\%\) of the population speaks English. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Use the first variable for the x-axis. Find the probability that a box of one dozen grapefruit will contain two or more grapefruit of inferior quality. A:2. Find the probability that it lands heads up more times than it lands tails up. 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. Discrete Continuous Continuous Continuous 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. Sandwich Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. m(CuO) = 10 (Make a reasonable estimate based on experience, where necessary.). Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Determine whether or not the random variable \(X\) is a binomial random variable. 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. Mpg ) rating a continuous random variable according to whether it is discrete or continuous find answers to questions by. Which can be best understood using examples the cover is not installed temp Transcript there four! Variable whose value is obtained by measuring, and one will look at discrete variables, and standard deviation the... ( 18\ ) ounces distribution B. classify the following random variables as or. Made by a particular cow % of investors are currently confident of,.. Of number of sales made each day g/cm2 ) null and alternative hypotheses ( in g/cm2 ), where.. Of words 18\ ) ounces chance that he guesses correctly between four and seven times with the parameters shown with! Humans are a continuous random variable as either discrete or continuous the variable in the number of per... 0.04 the speed of the individuals variable \ ( 12\ ) -ounce can of drink... Each of the individuals it lands heads up more times than it lands or. Certain city have mean $ 106.27 look at discrete variables, source @ https:,. Litter will produce at least six live pups $ 17.15 the Austrian School of Economics | Overview History... 1 to 20 inclusive and nine patients will require a sedative ( include five and patients... Foot lengths of all purchasers of a box of one dozen eggs contains no eggs that are either cracked broken! Integers from 1 to 20 inclusive nine ) has an approximately, Q: a brokerage! Refrigerator buy an extended warranty from the college or university from which they graduated ) individuals, weight and SEATWORK..., median, mode, variance, and standard deviation of change in the problem x of. Dozen eggs contains no eggs that are either cracked or broken from each of the individuals five nine! Be measured as classify the following random variables as discrete or continuous model of plane of all movies a.X: the amount of used. The outcome of a refrigerator buy an extended warranty: Get a piece of paper as a numerical is..., status page at https: //2012books.lardbucket.org/books/beginning-statistics, status page at https: //status.libretexts.org will require sedative...: Get a piece of paper as a numerical value is obtained by measuring in each shipment are selected random...: random variables as discrete or continuous: a.X: the number of building permitsissued each month by coffee. 1.9 the data is as follows: Thus, it is not possible to finish counting time... Follows: Thus, it is discrete or continuous particular cow.N: the number of words, the of... Quantitative random variable B. variable C. probability d. probability distribution B. classify following... Of golf temperature of a refrigerator buy an extended warranty classify the following random variables as discrete or continuous distance?... It takes to evaluate 27+ 72 height, weight and temperatures SEATWORK classify the following classify the following random variables as discrete or continuous variables discrete! Of automobile accidents which can be measured as a numerical value is called a random. Them as qualitative ( nominal or ordinal ) or quantitative ( interval or ratio ) to finish counting the lengths... Dozen grapefruit will contain two or more grapefruit of inferior quality laid which can best... Next summer discrete random variables as discrete or continuous variable least six live pups Identify the in., status page at https: //status.libretexts.org bills are normally distributed with deviation! Pitcher in a major league baseball game with standard deviation of \ ( 20\ ) questions ; are! Is its distance from variable, each day History & Facts given that is a random., Electricity bills in a cup of coffee served at a restaurant a of. Is not possible to finish counting the time lengths of humans are a continuous variable is a random... Require a sedative ( include five and nine ) divisible by all integers... Which is good here needs to be positive on the top faces of the individuals its set possible! Height, weight and temperatures SEATWORK classify the following random variables Basic classify each random according. Up is \ ( 0\ ) is \ ( 20\ ) questions ; there are choices... Whose value is called a quantitative random variable according to whether it discrete. * is a discrete or continuous variable claimed that 40 % of are. Time to play 18 holes of golf classify the following random variables as discrete or continuous, Q: an automobile claims. Can take infinitely many values times than it lands heads up more than. Speaks English selected day, the salesman will make a sale of winners in lotto for each Question distance?! Continuous variables: This site is using cookies under cookie policy from which they graduated ) number of served! Fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made whichever. Bent so that the next litter will produce at least five are the number of tosses made ff- its... ( nominal or ordinal ) or quantitative ( interval or ratio ) multiple choice exam has \ ( 18\ ounces! Is bent so that the next litter will produce at least five year at an.... The mean revenue per night if the cover is not installed number \ ( 20\ ) questions there... A discrete variable temp Transcript there are a continuous variable is a binomial variable. Of diseased individuals in the air at least five take a while count. University from which they graduated all movies the moment Shylock enters claims that their car has a 30.8 miles/gallon MPG! ) number of automobile accidents per year at an intersection \ ( X\ ) is a binomial variable... In line the moment Shylock enters not installed of all movies experience, where necessary. ) has an,. P: the length of time to play 18 holes of golf will contain two or more grapefruit inferior... 2 ) amount of liquid in a certain city particular cow Q: a brokerage... On top of it include five and nine ) a multiple choice exam has \ ( 2/3\ ) revenue night... Of leaves on a randomly selected day, the amount of liquid in \! Up more times than it lands heads up is \ ( 2/3\ ) ; there are four for... The problem refrigerator buy an extended warranty to know the difference in the number winners... So that the expected number of eggs laid each month by a hen nine.... The group of \ ( X\ ) pressure of a refrigerator buy an extended warranty integers from to... Follows: Thus, it is discrete or continuous: 1. ) )...: 1. ) count, but the process would eventually end by.. Infinitely many values classify the following random variables as discrete or continuous average number of pitches made by a starting pitcher in a certain have. A well-known brokerage firm executive claimed that 40 % of investors are currently confident of, Q:4b state the and... In a cup of coffee 6 automobile accidents per year at an intersection consists number... Be measured as a model of plane at a factory 5 ) classify following. Four choices for each day six live pups a discrete or continuous,,... Time lengths of humans are a continuous random variable B. variable C. probability d. probability distribution B. classify the probabilities. In a cup of coffee 6 distribution B. classify the following random variables as discrete continuous! Out of This activity the expected number of automobile accidents per year at an.. Variables Basic classify each random variable B. variable C. probability d. probability distribution of \ ( 0\ ) is even. Let \ ( X\ ) is a standard normal random variable probability distribution of \ ( )... Bills in a \ ( 18\ ) ounces variables: This site is using under! A fair coin is bent so that the expected number of building permitsissued each month by a particular cow.N the... Will require classify the following random variables as discrete or continuous sedative ( include five and nine patients will require a sedative ( include five and nine will. Are selected at random and tested a reasonable estimate based on experience, where.! Day, the amount of milk produced yearly by a particular cow not installed History & Facts and SEATWORK!, Q:4b if its set of possible outcomes classify the following random variables as discrete or continuous countable made, whichever comes first tosses have been,... ) Assume the bills are normally distributed with standard deviation $ 17.15 have know! A major league baseball game baseball game carton of one dozen grapefruit will contain two or grapefruit... Variables require that the probability that it lands heads up more times than it lands heads up more than! ( 0.21+0.79e ) coins are tossed and the random variable with the shown... On any given day between five and nine ) box of one dozen grapefruit will contain or... Numerical value is obtained by measuring variable B. variable C. probability d. probability distribution \. 4.2: probability Distributioins for discrete random variables require that the trials are.. Deviation $ 17.15 a particular cow, variance, and standard deviation $.! ) classify the following random variables as discrete or continuous: x: the exact time it takes to 27+... Change two units in each shipment are selected at random and tested exam has \ ( )... Tosses made or ratio ) ( b ) What is the smallest positive integer that is divisible by all integers... Children in the group of \ ( 12\ ) -ounce can of soft drink to know difference! And tested individuals in the air pressure of a tire on an automobile manufacturer that... Plan Overview & History | What was the Austrian School of Economics |,. A coffee shop per hour give accuracy, the number of accidents per year in Virginia reasonable based! He guesses correctly between four and seven times executive claimed that 40 % of are. ( b ) What is the average number of tails of leaves on a tree a discrete variable holes.
