IND ENG 172 Study Guide - Midterm Guide: Probability Mass Function

• School: Berkeley
• Department: Industrial Engineering And Operations Research
• Course: IND ENG 172
• Professor: all

Document Summary

Suppose that you continually collect coupons and that there are m di erent types. Suppose also that each time a new coupon is obtained it is a type i coupon with probability pi, i = 1, 2, . Part 1: let x be the number of trials needed to get the rst success. Suppose the probability of success in a trial is p and e[x] = 5. Find the second moment and the variance of x (state the assumptions you are making for this analysis). If y is the number of failed trials before the rst success, nd the rst and second moments and the variance of x. Find the probability mass functions of x and y . Find the mean, second moment and variance of.