Question

1. There is a random variable X. It has the probability distribution of f(x) = 0.55...

1. There is a random variable X. It has the probability distribution of f(x) = 0.55 - .075X, for 2 < x < 6. What is E(X)?

2. Continuing with the random variable X from question 1 (It has the probability distribution of f(x) = 0.55 - .075X, for   2 < x < 6): What is V(X)?

3. Let R and S be two independent and identically distributed random variables. E(R) = E(S) = 4. V(R) = V(S) = 3. Let T = R – S. What is V(T)?

4. Let V(X) = 49. What does the Cov(X,X) equal?

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