*This preview shows
page 1. Sign up
to
view the full content.*

**Unformatted text preview: **one. Find the density of | X-Y | and the joint density of X and | X-Y | . 3. A balanced six sided die is rolled ten times. Add the total of all the numbers which were rolled immediately preceeding those times a six is rolled. Call this total the score. (So if the rst ve rolls are two and the last ve are six the score is 26.) Find the mean and variance of the score. 4. Eight hands of ve cards each are dealt from a shued deck of cards without replacement, so that there are twelve undealt cards. Find the probability that at least one of these hands has no diamonds. 5. Let X , Y , and Z be iid uniform (0,1) random variables. Let min be the smallest of X,Y,Z , Max be the largest, and Med be the median. Find P (Med-min < Y-X ) ....

View
Full
Document