Question: The random variable X has the following distribution. x 2 5 7 8 P (x) .59 .15 .25 .01 a. Find the mean and variance

The random variable X has the following distribution.

x 2 5 7 8 P (x) .59 .15 .25 .01

a. Find the mean and variance for the probability distribution below.

b. Determine the probability distribution of Y where Y  5X.

c. Use the probability distribution in part

(b) to compute the mean and variance of Y.

d. Use the laws of expected value and variance to find the expected value and variance of Y from the parameters of X.

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