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Let X and Y have the joint PDF (i really just need g and h if...

Let X and Y have the joint PDF (i really just need g and h if that makes it easier)

f(x) = { c(y + x^2) 0 < x < 1 and 0 < y < 1 ; 0 elsewhere

a) Find c such that this is a PDF.

b) What is P(X ≤ .4, Y ≤ .2) ?

C) Find the Marginal Distribution of X, f(x)

D) Find the Marginal Distribution of Y, f(y)

E) Are X and Y independent? Explain

F) Find f(x|y)

G) Find Cov(X, Y)

H) Find p

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