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Suppose X has the following probability distribution. x= -1 0 1 P(x=x) .50 .35 .15 i. Verify that this is a valid probability distribution. A:

Suppose X has the following probability distribution.

x= -1 0 1

P(x=x) .50 .35 .15

i. Verify that this is a valid probability distribution.

A:

ii. Find the mean of X.

A:

iii. Find the variance of X.

A:

iv. Based on your answer from part (i), what is the mean of 7X + 6

A:

v. Suppose another random variable Y has a mean of -2.What is the mean of 2X + Y?

A:

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