I. (15 points) For each of the following questions, answer true or false on the

Question

I. (15 points) For each of the following questions, answer true or false on the line provided. 1. Suppose that (X,Y) has joint pdf fx.r(r, y) and X has pdf fx(). Then fx (x)-1-?fXY(z,v)dr. If X is a random variable with pdf fx(x) then Y has pdf fy (y) = 1x(w) if y?0 2. 3. If X is a random variable with pmf fx(x). Then YX4 has pmf fy(y) = fx(yN) + fx(--y1/4) for 1/> 0. Then Y- g(X) is a continuous random variable. Suppose that Var(X) = 5 and E[X] = 2. Then ElX2-3. 4. Suppose that X is a continuous random variable and g is a function on R. 5.

Explanation / Answer

Please post 1 question per post, as per forum rules.

5. Var(X) = E(X^2) - E(X)^2

So, Var(X)=5, E(X) = 2

Hence, 5 = E(X^2) - 2^2

E(X^2) = 9

Hence, FALSE

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