Question: 3. The two random variables X and Y are independent. Their probability distributions are X 1 2 y 3 P(X = x) 1 P (

3. The two random variables X and Y are independent. Their

3. The two random variables X and Y are independent. Their probability distributions are X 1 2 y 3 P(X = x) 1 P ( Y = y) 2 6 a) Find E(Y) and V (Y). b) Find CoV(X, Y). (Don't forget to justify your answer.) c) Find the simultaneous probability distribution. Define a new random variable, W = X + Y d) Find the probability P(W = 4) e) Find the probability P(X

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2. Value-oriented information and

1. Empirical or factual information,

1. To take in the necessary information,