2. 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 g. Find P(Y> h. Find P(X> ) = {1.5 (x² + y²),0 ≤ x, y ≤ 1₁ 0, elsewhere. f(x, y) = | X = ¹/2). | Y = 1/2).

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2. 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) =
= {1.5 6
(1.5
(x2 + y2),0 ≤ x, y ≤ 1,
0,
elsewhere.
g. Find P(Y>½|X = ¹2).
h. Find P(X> | Y = ¹2).
Transcribed Image Text:2. 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) = = {1.5 6 (1.5 (x2 + y2),0 ≤ x, y ≤ 1, 0, elsewhere. g. Find P(Y>½|X = ¹2). h. Find P(X> | Y = ¹2).
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