Reference-MATH 2421 Spring 2023 final q5

Solution to Problem 5: M (ii) . varlx) = var Xi i= M I var(xi ) + Cov(xi, X; ). = From (i ) , ? How to var (Xi M obtain thisSuppose that there are M distinct types of coupons and each time one obtains a coupon, it is equally likely to be any one of the M types. Let X be the number of different types of coupons that appear among the first n collected. (i). Find the expect value of X. (i). Find the variance of X