### Probability Distribution and Expected Value of a Spinner#### Problem StatementA spinner marked off into three equal-sized regions, numbered 1, 2, and 3, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x) = P(X = x). Complete the following:a) State the range of X.b) Write X as a set of ordered pairs.c) Draw a probability distribution as a histogram.d) Find g(0), and explain what this number represents.e) Find µ, and explain what this number represents.#### Solutiona) **What is the range of X?** - The range of X can be found by considering the possible nonnegative differences between the regions where the pointer stops. - **Answer Options:** - A. {1, 2} - B. {0, 1, 2} - C. {1, 2, 3} - D. {0, 1, 2, 3} - **Correct Answer:** - B. {0, 1, 2}b) **Write X as a set of ordered pairs. Choose the correct answer below:** - To write X as a set of ordered pairs, consider each pair of spins and their difference. - **Answer Options:** - A. {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)} - B. {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)} with respective differences as needed - C. {(x,y)} such that x-y is the nonnegative difference - D. {(x,y)} such that the set represents unique nonnegative differences - **Correct Answer:** - B. \[\left\{ (1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3

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Answered: A spinner marked off in three…

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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According to a survey, 70% of all students at a particular suffer from math anxiety. Three students are randomly selected from this school. Let X be the number of students in the sample who suffer from math anxiety. Develop the probability distribution of X.
Suppose that we have a sample space S= {E1 E2, E3, E4, E5, E6' E7}, where E1 E2, ...,E7 denote the sample points.The following probability assignments apply: P(E1)= .05, P(.E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) =.15, P(E6) = .10, and P(E7) = .05. Let A= {E1 E4, E6 } B= {E2 E4, E7 } c= {E2 E3, E6 , E7} a. Find P(A), P(B), and P(C). b. Find A∪ B and P(A ∪ B). c. Find A ∩ B and P(A ∩ B). d. Are events A and C mutually exclusive? e.Find Bc and P(Bc).
2.A box contain 2 red, 3 blue and 5 black balls. Three balls are drawn randomly. Let X be defined as the number between summation of the number of red and blue balls and the number of black balls. Let Y be defined as the difference between black balls and red balls. a. Construct the joint probability function of X and Y. b.Find marginal probability functions c. Are X and Y independent?
A motorcycle drives from Moraytato Lacson and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Morayta to Lacson and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by x y 0 1 2 3 4 0 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 d) Give E(X). Answer= (e) Give E(Y). Answer= (f) Give E(Y| X = 3). Answer= (g) Give the standard deviation of X. Answer=
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the one that have tittle with selected exercise is the question. another image is the answer. pls help me by explaining how to get answer for question 1b
Suppose R is a discrete random variable that only takes positive integer values. Suppose the cumulative distribution function of R satisfies F(2.5) = 0.6 and F)3.5) = 0.8. Is there enough information to calculate the probability P(R = 3) ? If so, what is the probability?
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Suppose that we have a sample space S = {E₁, E2, E3, E4, E5, E6, E7], where E₁, E2, ..., E7 denote the sample points. The following probability assignments apply: P(E₁) = 0.20, P(E₂) = 0.05, P(E3) = 0.20, P(E4) = 0.15, P(E5) = 0.25, P(E6) = 0.05, and P(E7) = 0.10. Let A = {E₁, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}. Find P(AC). 0.7000 0.6000 0.3000 0.5714 O 0.4000 Question 3

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