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  3. suppose that y is a normal random variable with...

Question: suppose that y is a normal random variable with...

Question details

. Suppose that Y is a normal random variable with mean µ = 3 and variance σ
2 = 1; i.e.,
Y
dist = N(3, 1). Also suppose that X is a binomial random variable with n = 2 and p = 1/4; i.e.,
X
dist = Bin(2, 1/4). Suppose X and Y are independent random variables. Find the expected
value of Y
X. Hint: Consider conditioning on the events {X = j} for j = 0, 1, 2.

8. Suppose that Y is a normal random variable with mean μ = 3 and variance σ2 = 1; i.e., Y-t N(3,1). Also suppose that X is a binomial randon variable with-2 and p-, 1/4; ie, dist x et Bin(2,1/4). Suppose X and Y are independent randon variables. Find the expected dist value of Yx. Hint: Consider conditioning on the events {X = j} for j = 0, 1, 2.

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