Let X denote the reaction time, in seconds, to a certain stimulant 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 0 < x< 1; 0 < y<1 0, (4xy, f(x, y) = {* elsewhere a.) P(0 s x s and srs); b.) Find P(X

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A: Given that X1, X2,..., Xn is a random sample from a distribution with pdf f(x)=2x, for x∈0, 1.

Q: 2. Define the process, t I VY(u)dW(u) + | Vudu Y(t) = What is the variance of Y (t)?

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A: Here given joint distribution of x and y

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A: The probability density function of X and Y is,

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Q: f(x, y) = axyI(0,1) (x)I(0,²) (y) 59. Given this joint pdf, (a) Find the value of a that makes this…

A: a) Since the function f(x,y) is the joint pdf so  ∫01∫0x2f(x,y)dydx =1⇒∫01∫0x2α xydydx…

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Q: Let X and Y be discrete random variables with joint probability mass function C PxY(2,) for x, y =…

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