# Question: A fair die is successively rolled Let X and Y

A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls necessary to obtain a 6 and a 5. Find

(a) E[X];

(b) E[X|Y = 1];

(c) E[X|Y = 5].

(a) E[X];

(b) E[X|Y = 1];

(c) E[X|Y = 5].

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

There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and .7. One of the coins is to be randomly chosen and flipped 10 times. Given that two of the first ...A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnel that returns him to his cell after 2 days’ travel. The second leads to a tunnel that returns him to his cell after 4 days’ travel. The ...Let X1, . . . be independent random variables with the common distribution function F, and suppose they are independent of N, a geometric random variable with parameter p. Let M = max(X1, . . . ,XN). (a) Find P{M ≤ x} by ...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 ...A total of n balls, numbered 1 through n, are put into n urns, also numbered 1 through n in such a way that ball i is equally likely to go into any of the urns 1, 2, . . . , i. Find (a) The expected number of urns that are ...Post your question