Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts the number of coin flips needed. (a) Approximate the probability that in a (non-leap) year there are at least 2 days when he needed strictly more than 10 coin flips. (b) Approximate the probability that in a year there are strictly more than 53 days when he needed exactly 3 coin flips.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts
the number of coin flips needed.
(a) Approximate the probability that in a (non-leap) year there are at least 2 days when he needed strictly more
than 10 coin flips.
(b) Approximate the probability that in a year there are strictly more than 53 days when he needed exactly 3 coin
flips.
Transcribed Image Text:Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts the number of coin flips needed. (a) Approximate the probability that in a (non-leap) year there are at least 2 days when he needed strictly more than 10 coin flips. (b) Approximate the probability that in a year there are strictly more than 53 days when he needed exactly 3 coin flips.
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