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)
d) P(X<2, Y<2)
g) Marginal probability distribution of X
h) Conditional probability distribution of Y given that X=1
This solution provides step by step calculations for join probability distributions.