# Question

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.

(a) X1 + X2 and X2 + X3;

(b) X1 + X2 and X3 + X4.

## Answer to relevant Questions

Consider the following dice game, as played at a certain gambling casino: Players 1 and 2 roll a pair of dice in turn. The bank then rolls the dice to determine the outcome according to the following rule: Player i, i = 1, ...The joint density of X and Y is given by f(x, y) = e−x/ye−y/y, 0 < x < ∞, 0 < y < ∞ Compute E[X2|Y = y]. 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 ...In Example 5c, compute the variance of the length of time until the miner reaches safety. Example 5c A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him to safety after 3 ...Two envelopes, each containing a check, are placed in front of you. You are to choose one of the envelopes, open it, and see the amount of the check. At this point, either you can accept that amount or you can exchange it ...Post your question

0