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# Joint Probability Distributions

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Determine the value of c that makes the function f(x,y) = c(x+y) a joint probability density function over the range:
x greater than 0 and less than 3 and x less than y less than x+2

a) P(X<1, Y<2)
b) P(1<X<2)
c) P(Y>1)
d) P(X<2, Y<2)
e) E(X)
f) V(X)
g) Marginal probability distribution of X
h) Conditional probability distribution of Y given that X=1
i) E(Y|X=1)
j) P(Y>2|X=1)

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