There m types of coupons. Each new coupon collected is of type i with probability pi, ATTL Pi 1. We collect n coupons independently. (1). Find the expectation of the number of type 1 coupon we get. (2). Find the expected number of distinct types we get.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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There m types of coupons. Each new coupon collected is of type i with probability Pi,
Pi = 1. We collect n coupons independently.
(1). Find the expectation of the number of type 1 coupon we get.
(2). Find the expected number of distinct types we get.
Transcribed Image Text:There m types of coupons. Each new coupon collected is of type i with probability Pi, Pi = 1. We collect n coupons independently. (1). Find the expectation of the number of type 1 coupon we get. (2). Find the expected number of distinct types we get.
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