# Question: The joint density of X and Y is given by f x

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].

f(x, y) = e−y/y, 0 < x < y, 0 < y < ∞

Compute E[X3|Y = y].

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

A population is made up of r disjoint subgroups. Let pi denote the proportion of the population that is in subgroup i, i = 1, . . . , r. If the average weight of the members of subgroup i is wi, i = 1, . . . , r, what is the ...There are n + 1 participants in a game. Each person independently is a winner with probability p. The winners share a total prize of 1 unit. (For instance, if 4 people win, then each of them receives 1/4, whereas if there ...The number of winter storms in a good year is a Poisson random variable with mean 3, whereas the number in a bad year is a Poisson random variable with mean 5. If next year will be a good year with probability .4 or a bad ...In Example 6b, let S denote the signal sent and R the signal received. (a) Compute E[R]. (b) Compute Var(R). (c) Is R normally distributed? (d) Compute Cov(R, S). Example 6b Suppose that if a signal value s is sent from ...Consider n independent trials, each resulting in any one of r possible outcomes with probabilities P1, P2, . . . , Pr. Let X denote the number of outcomes that never occur in any of the trials. Find E[X] and show that, among ...Post your question