Unformatted text preview: one. Find the density of  XY  and the joint density of X and  XY  . 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 ﬁrst ﬁve rolls are two and the last ﬁve are six the score is 26.) Find the mean and variance of the score. 4. Eight hands of ﬁve cards each are dealt from a shuﬄed 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 (Medmin < YX ) ....
View
Full Document
 Spring '09
 Normal Distribution, Standard Deviation, Variance, Probability theory, probability density function, Tom

Click to edit the document details