No. 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. 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.. answered A. Classify the following random variables as discrete or continuous. 80 Explain fully. And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. A:We have to determine which confidence level is wider. If so, give the values of \(n\) and\(p\). Thus for example if a one and a five are rolled, \(X=4\), and if two sixes are rolled, \(X=0\). P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. Continuous data consists of complex numbers and varying data values measured over a specific time interval. 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. 3 1. . . 2. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. B. What is the average number of customers who are waiting in line the moment Shylock enters? patients if she wants to, A:no. Sample size (n) = 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? This site is using cookies under cookie policy . [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . N: the number of eggs laid each month by a hen. The number of accidents per year at an intersection. How do you determine whether data is discrete or continuous? On the plane, draw points A and B. 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). Thus, it is a continuous variable. Ten percent of all purchasers of a refrigerator buy an extended warranty. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. So, it is a discrete variable. the following simple, A:Consider the three doors in the following order: Round to two decimal places (for example: 42.81). Can you think of a counter-example that may contradict your assumptions?. 26/02/2023 . So, it is a discrete variable. You can specify conditions of storing and accessing cookies in your browser. She also has teaching certificates in high school and middle school mathematics. It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. A roulette wheel has \(38\) slots. The number of voters favoring a candidate 3. Thus, it is a discrete variable. Relative Clause, Quiz & Worksheet - Jim Crow Laws in To Kill a Mockingbird. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. , of. Classify the following random variables as discrete or continuous. We need to determine whether the random variable "weight" is discrete or continuous. The amount of rain recorded at an airport one day. N: the number of eggs laid each month by a hen. What assumptions can you make out of this activity? If the correlation coefficient is -0.80, below-average values of the dependent (y). vising nurse wants to visit all patients in one day. Variable N consists of number of eggs laid which can be counted. Classify the following random variables as discrete or continuous. Find the average number of inferior quality grapefruit per box of a dozen. menu Shylock enters a local branch bank at \(4:30\; p.m\). 98 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. (-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. 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 \(0.50\)? The % change is computed in terms of % increase and % decrease. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. Discrete 3) Time taken to prepare a drink. Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). A work contains four errors. The number of heads in two tosses of a coin. 3.99 Pattern Recognit. Let \(X\) denote the net gain to the bettor on one play of the game. The average weight of newborn babies born in a particular county one month. A:Introduction Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. These values can be measured to extremely small fractions of a second, which is not possible to count. b.Y : the length of time to play 18 holes of golf. Determine whether or not the random variable \(X\) is a binomial random variable. Classify the following random variable according to whether it is discrete or continuous. Find the probability that Borachio will produce more than three blemished tires tomorrow. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? *Response times may vary by subject and question complexity. 0.34 Legal. The time between customers entering a checkout lane at a retail store. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. If the player rolls doubles all three times there is a penalty. A coin is bent so that the probability that it lands heads up is \(2/3\). a. Discrete 2) Amount of milk used per drink. Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. Y : the length of timeto play 18 holes of golf. 3) Time taken to prepare a drink. Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that One ticket will win \(\$1,000\), two tickets will win \(\$500\) each, and ten tickets will win \(\$100\) each. Find the probability that it lands heads up more times than it lands tails up. d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. An appliance store sells \(20\) refrigerators each week. 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. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. What Is Plantar Fasciitis? 0 .10 Discrete N: the number of eggs laid each month by a hen. 1.9 Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. 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. 1) Number of customers served by a coffee shop per hour. Q:A watch manufacturer claims that their watches on average will neither gain nor lose What is the probability that, A:Given Information: Find the probability that at least one of them will be able to speak English. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. 2. The number of pitches made by a starting pitcher in a major league baseball game. The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. : The function f(x) = -x^4 + 3 does not have an absolute maximum. Given: Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Mx (1) = (0.21+0.79e). Level of significance () = 0.1 of absences The random variable is then continuous. Continuous Random Variable are random variables that take an. the number of defective computers produced by a manufacturer. 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. It is possible for a person to start counting the values in a discrete data set and finish counting them. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Let \(X\) denote the number of times a fair coin lands heads in three tosses. 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. The weight of the professional wrestlers 6. P: the number of building permitsissued each month in a certain city. -0.47 It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. They take positive real values, that means that in the interval used for the variable there are infinite possible values. Find the probability that Borachio will produce at most two blemished tires tomorrow. College GPA 2, Q:Let X be a discrete random variable with moment generating function given by: Sandwich 0.04 Step 1: Identify the variable in the problem. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. The data is as follows: The probability that an egg in a retail package is cracked or broken is \(0.025\). Her sister weighs 12 pounds more. 5 0.1 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. Provide an appropriate response. : The function f(x) = -x^4 + 3 does not have an absolute maximum. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.99\). Find the probability that it lands with its point in the air at least \(7\) times. Independent variable (x) = no. O continuous . Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew Posttest 1. . state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. 1. Since this data can be obtained by counting, it is a discrete variable. abbvie ceo richard gonzalez wife; how far is haddonfield, illinois from chicago 92 You can specify conditions of storing and accessing cookies in your browser. Continuous The probability that he will, Q:Calculate r, the correlation coefficient ________________ Classify the following random variables as discrete or continuous. 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. 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. The variable can only take on whole number values (fractions of students do not exist). the length of time to play 18 holes of golf. 3) Classify the following random variable according to whether it is discrete or continuous. of categories (k) = 5 P(D) = 0.80, P(I) = 0.20 2. 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. Quantitative Random Variables . The number of boys in a randomly selected three-child family. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given c.M: the amount of milk produced yearly by a particular cow. Determine the . Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. on a number line. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. The package also introduces support functions to compute raw moments, limited moments and the moment generating function (when it exists) of continuous distributions. Correct to give accuracy, the amount of water measured in liters. TRUE OR FALSE. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. "Introductory Statistics" by Shafer and Zhang. 6 View this solution and millions of others when you join today! Circle the correct answer. Explore: Get a piece of paper as a model of plane. 3 1) Classify the following random variable according to whether it is discrete or continuous. continuous. \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Classify the following random variables as discrete or continuous. The, Q:Internet Service Providers A:Given that Lett. (Two entries in the table will contain \(C\)). Classify the following random variable. : Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Be on top of it. 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. 2) Amount of milk used per drink. 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. and the Discrete or Continuous Wavelet Transform (DWT/CWT). Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) The number of leaves on a tree is a countable set. The pattern evident from parts (a) and (b) is that if. In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . 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 \(\$368\). The number of new cases of influenza in a particular county in a coming month. Classify each random variable as either discrete or continuous. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). For this study, we should use [Select an answer 2.02 Enter the email address you signed up with and we'll email you a reset link. 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. 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour 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. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . copyright 2003-2023 Study.com. What number of customers waiting in line does Shylock most often see the moment he enters? 7. The temperature of a cup of coffee served at a restaurant. Find the probability of rolling doubles all three times. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Find the average time the bus takes to drive the length of its route. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. a. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. Find the average number of cracked or broken eggs in one dozen cartons. Let \(X\) denote the net gain to the bettor on one play of the game. 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. Each month a local blood bank sends an appeal to give blood to \(250\) randomly selected students. m(HNO3) = 12,6 Discrete Continuous Continuous Continuous. Answer: Discrete, quantitative, ratio Find the probability that from \(8\) to \(12\) days will be lost next summer. Let \(X\) denote the number of tosses made. Mean change M: the amount of milk produced yearly by a particular cow. A laboratory performs \(20\) such tests daily. Compute the mean and standard deviation of \(X\). Use the first variable for the x-axis. Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. a = 0.05.) The distance a rental car rented on a daily rate is driven each day. What is the probability that they will clear exactly 4 hurdles? Let \(C\) denote how much the insurance company charges such a person for such a policy. a. 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. 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, 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.} , How many lines can you form? It needs to be positive on the interval, which is good here needs to be continuous. \(X\) is a binomial random variable with the parameters shown. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Do not write any units. (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. Control group These imperfections can include the following: . Round to two decimal places (for example: 42.81). C. 0.19 m(Cu(NO3)2) = ? Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. .. A continuous variable is one whose value can be obtained by measuring it. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. The sum of their weights is 330 pounds. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. Write an equation about the sum of their weights. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. Blanca weighs x pounds. Let \(X\) denote the number of the next \(20\) purchasers who do so. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. 1. A multiple choice exam has \(20\) questions; there are four choices for each question. If either one of the units is defective the shipment is rejected. 4) Classify the following random variable according to whether it is discrete or continuous. (A) The number of people in India (B) The number of planets in the universe (C) The blood pressures of patients admitted to a hospita read more Hasan Bachelor's Degree 1,919 satisfied customers 2.Classify the following as discrete or continuous random variables A. A:Please find the explanation for question b below. Determine whether the quantitative variable is discrete or continuous. Find the average number of patients each day who require a sedative. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. Q:The values of P(Z0.1) and P (Z0.1) are the same. Y : the length of time to play 18 holes of golf. 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 weight of the professional wrestler. 2.) All other trademarks and copyrights are the property of their respective owners. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. =1-0.95 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. A:Given information: Discrete Random Variables are variables that can take on a finite. \(X\) is the number of dice that show an even number of dots on the top face when six dice are rolled at once. Construct the probability distribution of \(X\). A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. The tack is dropped and its landing position observed \(15\) times. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. The number of passengers in a passenger vehicle on a highway at rush hour. About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. 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. Compute the mean revenue per night if the cover is not installed. So, let's take a look at the following three examples. d.N: the number of eggs laid each month by a hen. The number of patrons arriving at a restaurant between \(5:00\; p.m\). If not, explain why not. The coin is tossed ten times. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a . Write only a number as your answer. You can specify conditions of storing and accessing cookies in your browser. What is the product of 1.7 and 0.2? In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
classify the following random variables as discrete or continuous