# 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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This solution provides step by step calculations for join probability distributions.

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