A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is spun once. Let the random variable X be the number of the region where the pointer stops, and define a probability mass function f(x) = P(X=x).a) State the range of X.b) Write f as a set of ordered pairs.c) Draw the probability distribution as a histogram.d) Find f(2), and explain what this number represents.e) Find μ, and explain what this number represents.O B.(0.1). (¹.4)· (², 4). (³, 4)OC (¹) (²) ( ) ( )C.OD. (¹.). (2.). (3.1). (4.1)c) Which of the following is the correct histogram of the probability distribution?O A.OB.O C.QQ0d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Type an exact answer in simplified form. Use the answer from part b to find this answer.)O A. The value of f(2) isand represents the probability the spinner lands on that region.OB. The value of f(2) isand represents the average value of the spins.e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The mean, μ, isand represents the probability of landing on one of the regions.OB. The mean, μ, isand represents the average value of the spins.Ay1O D.0 1QQ

From the given information, A spinner marked off in four equal sized regions numbered 1,2,3 and 4…

Answered: A spinner marked off in four…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. The table below shows the percentage of successful free throws and field goals a professional basketball player makes in a season: X 44 51 67 90 89 86 y 45 59 62 66 74 66 What is the value of xyz Σxy?
The marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are independent random variables. Y= 1 Y= 3 X= 0 0.50 X= 1 0.30 X= 2 0.10 0.10 0.20 0.50 0.50 1.00
Let X - binomial (n, p) and Y ~ binomial (m, p) be independent. a. Derive the MGF of W = X+Y. b. By the uniqueness property of the MGF, what is the probability distribution of W? c. Find the mean and variance of W using its MGF.
Please answer these three questions. Directions: Construct the probability mass functions of the random variables defined by the following exercises. 1. A green die and a red die are rolled. The random variable X is the number of rolls required until a sum of seven spots is observed for the first time. 2. A box contains one P20 bill, one P50 bill, on P100 bill, one P200 bill, one P500 bill, and one P1,000 bill. Two bills are drawn in succession and without replacement from the box. The random variable T is the total monetary value of the two bills. 3. Four students are applying for a summer job in a fast-food restaurant. The result of the application is that a student may be hired or rejected. Assume that a student is equally likely to be hired or rejected for the job. The random variable X is the number of students among the four who hired.
Q1 The travel time (T) from district A to district B in a city may be 0.5, 1.0, 1.5, 2.0, 2.5 or 3. and the corresponding probability mass function is given as shown in the figure below. a) Find the mean value of the travel time. b) Find the modal value. c) Find the variance, standard deviation and coefficient of variation of the travel time. d) What is the probability that the travel time will be less than or equal to 1.5 hour P(T <1.5) =? 0.35 0.30 0.3 0.25 0.25 0.20 0.2 ' 0.15 0.10 0.10 0.1 0.05 0.05 0.5 1 1.5 2 2.5 3 I (hours) (1)'d
Answer d, c, f
1.) The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours which is found to be uniformly distributed. Let x be the time needed to fix an A/C unit. b.) Find the probability that a randomly selected A/C unit repair requires less than 3.5 hours?
Determine, a) First two moments about the origin. b) The second moment about the mean.
59% Consider the joint probability function: X12 Y -1 a 0.1 0. b d 1. e 0.3 0.4 If X and Y are independent random variables the yalue of b and d are 2. A) b = 0, d = 0.2 B) b 15 d = 0.2 C) b = 15 d = 0.6 D) b = , d = 0 15 A) b = 0, d = 0.2 C)b ==,d- 0.6 15 Dowaload XFull sen ...
Let a function of random variable X is given by ( refer pictures) : a) Find the value of K b) Form the table of probability distribution of X C) Find the mean and variance of the distribution
Consider rolling 2, 3-sided dice. Let X = the sum of the dice. Let Y = the product of the dice. a. Find the joint probability function for X and Y. b. Find the marginal probability functions for X and Y. Find P(X > 3|Y = 3) C.
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