Let's consider r.v.s X and Y and a continuous bivariate distribution f(X,Y) defined by f(x, y) = { 3.x 0 for0≤y≤x≤1 otherwise a.) Find the marginal distribution of X. b.) Find the marginal distribution of Y. c.) Find дx and Var(X) d.) Find #y and Var(Y) e.) Find Cov(X,Y) f.) Define Z = 2X – Y. Find E(Z) and Var(Z)

Q: DISTRIBUTION A: (discrete) f(x,y)=, for x, y = 1,2,3 36 DISTRIBUTION B: (continuous) f(x, y) = (x +…

A: Note: As per the requirement solving part(a)

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Q: distribution is given as X ~ U(0, 12). Find P(x > 3)

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Q: 4. Find the expected values of ry 5. find the covariance Cov(X,Y) 6. find the correlation Cor(X,Y)

A: Expected value of xy: The expected value of xy can be calculated as: E[xy] = ∫∫ xy * f(x, y) dx dy…

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A: c) The mean are calculated as follows:

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Q: It is thought that basketball teams that make too many fouls in a game tend to lose the game even if…

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A: Using rth order pdf.

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Q: Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy…

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A: ANSWER: To find the distribution of U(X + Y), we can use the convolution formula for the probability…