The discrete random variable X has the probability distribution given by: x -3 1 3 5 7 P(X=x) 2r 0.25 0.2 0.1 r a. Determine the following probability: P(X=-3) = ? b. What is the expected value of the random variable X? c. What is the variance of the random variable X?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The discrete random variable X has the probability distribution given by:

x -3 1 3 5 7
P(X=x) 2r 0.25 0.2 0.1 r

a. Determine the following probability: P(X=-3) = ?

b. What is the expected value of the random variable X?

c. What is the variance of the random variable X?

d. Find the variance of the random variable Y, where Y=−3X+(1/4)

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