Question

The joint probabilities for two random variables X and Y are summarized

by their joint probability distribution. The conditional probability distribu-

tion of Y given X = x is the probability distribution of Y, conditional on X

taking on the value x.​

Answer 1

Answer:

If X takes values in [a, b] and Y takes values in [c, d] then the pair (X, Y ) takes values in the product [a, b] × [c, d]. The joint probability density function (joint pdf) of X and Y is a function f(x, y) giving the probability density at (x, y).