Solution-Find the expected value and variance of the random

a) Given a random variable x with mean 10 and variance 9, find the expected value and variance of the random variable y where y = 12 + 2x.

b) A random variable x has E[x]=5 and Var(x)=9. A random variable y, independent of x, has E[y]=10 and Var(y)=25.

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Find the expected value and variance of the random : a) Given a random variable x with mean 10 and variance 9, find the expected value and variance of the random variable y where y = 12 + 2x.

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