Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density f(x, y) = {*² + +²,0 < x < 1,0 < y < 2, elsewhere. g. Find P(Y>1|X= ½). h. Find P(X | Y = 1). i. Determine if the random variables are statistically independent.

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A: Let's solve.

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A: This question has three subparts. The solution is explained below.

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A: Topic:- simplification

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