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Determine the value of c that makesthe function f(x,y) = ce^(-2x-3y) a joint probability densityfunction over...

Determine the value of c that makesthe function f(x,y) = ce^(-2x-3y) a joint probability densityfunction over the range 0 < x and 0 < y < x

Determine the following :

a) P(X < 1,Y < 2)
b) P(1 < X < 2)
c) P(Y > 3)
d) P(X < 2, Y < 2)
e) E(X)
f) E(Y)
g) MARGINAL PROBABILITY DISTRIBUTION OF X
h) Conditional probability distribution of Y given that X=1
i) E(Y given X = 1)
j) Conditional probability distribution of X given Y = 2

Thanks for any help!!
math   Statistics-And-Probability   
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