Answered: 14. Which of the following can serve as…

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 the discrete r.v. that represents the number of Boys in a three-child family. Assume that the outcomes boys and girls are equally likely. What is the expected value of this discrete probability distribution? What is the variance?
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A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
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4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Is the expected value (mean) of the probability distribution of a random variable always one of the possible values of x from the distribution? ExplainWhy not
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
Is the expected value (mean) of the probability distribution of a random variable always one of the possible values of x from the distribution ? Explain

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14. Which of the following can serve as the probability distribution of a ndom variable X? A. P(X) for x =1,2, 3......8 8. В. Р(X) 3+X 3-x for x = 1, 2, 3, 4 C. P(X) for x = 1,2,3......9 6. 3 for x = 1,2,3 5x D. P(X)