Question: Let X be a random variable such thatE[X]=10 and Var[X]=2. Let Y be a random variable defined as Y=53X. What is the expectation of Y?

Let X be a random variable such thatE[X]=10 and Var[X]=2.

Let Y be a random variable defined as Y=53X.

What is the expectation of Y?

*I got -25 is that correct?

Let X be a random variable such that E[X]=10 and Var[X]=2.

Let Z be a new random variable, independent of X and Y, such that E[Z]=0and Var[Z]=1.5.

Suppose now that Y is redefinedas Y=53X+Z.

What is the new expectation of Y?

*I got -25 is that correct?

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