# Question: If X and Y have joint density function find a E XY b E X c

If X and Y have joint density function

find

(a) E[XY]

(b) E[X]

(c) E[Y]

find

(a) E[XY]

(b) E[X]

(c) E[Y]

**View Solution:**## Answer to relevant Questions

The joint density function of X and Y is given by f(x, y) = 1/ye−(y+x/y), x > 0, y > 0 Find E[X], E[Y], and show that Cov(X, Y) = 1. If X1, X2, X3, and X4 are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, compute the correlations of (a) X1 + X2 and X2 + X3; (b) X1 + X2 and X3 + X4. The joint density of X and Y is given by f(x, y) = e−y/y, 0 < x < y, 0 < y < ∞ Compute E[X3|Y = y]. Each of m + 2 players pays 1 unit to a kitty in order to play the following game: A fair coin is to be flipped successively n times, where n is an odd number, and the successive outcomes are noted. Before the n flips, each ...Repeat Problem 68 when the proportion of the population having a value of λ less than x is equal to 1 − e−x. Problem 68 The number of accidents that a person has in a given year is a Poisson random variable with mean ...Post your question