A brilliant young golfer wins 15% of the tournaments she enters. We will assume the results of each tournament are independent of other tournaments. a) If she enters 20 tournaments this year, what is the probability she will win none of them? b) What is the expected value of the number of tournaments she must enter in order to win her  first tournament? What is the variance of that number?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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 A brilliant young golfer wins 15% of the tournaments she enters. We will assume the results of each tournament are independent of other tournaments.

a) If she enters 20 tournaments this year, what is the probability she will win none of them?
b) What is the expected value of the number of tournaments she must enter in order to win her 
first tournament? What is the variance of that number?

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