Question: 2. Suppose Y = 1 + 2X + , where X and are independent and X N(4, 2) and N(0, 1). (X and (element-of-symbol) (a)

2. Suppose Y = 1 + 2X + , where X and are independent and X N(4, 2) and N(0, 1). ("X and (element-of-symbol)

(a) What is the expected value of Y ?

(b) What is the variance of Y ?

(c) Given X = 2, what is the expected value and variance of Y ?

(d) What is the covariance between X and Y ?

(e) What is the Pearson correlation coefficient between X and Y ?

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