Question: Q6. (15 points) Suppose that X has density fx (x) given below. = Let YX2 2. - fx(x) { x/2 if 0 < x

Q6. (15 points) Suppose that X has density fx (x) given below.

Q6. (15 points) Suppose that X has density fx (x) given below. = Let YX2 2. - fx(x) { x/2 if 0 < x < 2 otherwise (a) (7 points) Compute the cdf and the density of Y. (Remember to be very explicit about all cases!) Plot them. (b) (8 points) Compute P(Y > 0|X 1.8).

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