3. Your friendly instructor shoots free throws on a basketball court. He hits the first and misses the second, and thereafter the probability that he hits the next shot is equal to the proportion of shots he has hit so far. (a) What is the probability that he hits at least 3 of his first (b) 5 shots? 5 shots. Compute the expected number of successful shots out of

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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3. Your friendly instructor shoots free throws on a basketball court. He hits
the first and misses the second, and thereafter the probability that he hits
the next shot is equal to the proportion of shots he has hit so far.
(a)
What is the probability that he hits at least 3 of his first
(b)
5 shots?
5 shots.
Compute the expected number of successful shots out of
Transcribed Image Text:3. Your friendly instructor shoots free throws on a basketball court. He hits the first and misses the second, and thereafter the probability that he hits the next shot is equal to the proportion of shots he has hit so far. (a) What is the probability that he hits at least 3 of his first (b) 5 shots? 5 shots. Compute the expected number of successful shots out of
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