n servers are located in a computer cluster. After one year, each server independently is still working with probability pp, and otherwise fails (with probability 1−p1−p).   What is the probability that at least n−1n−1 servers are working after one year? In your explanaition, provide an answer as an expression in terms of nn and pp. To "Check" your answer, solve the problem with n=12n=12and p=0.89p=0.89. Go with at least three significant digits.

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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n servers are located in a computer cluster. After one year, each server independently is still working with probability pp, and otherwise fails (with probability 1−p1−p).

 

What is the probability that at least n−1n−1 servers are working after one year? In your explanaition, provide an answer as an expression in terms of nn and pp. To "Check" your answer, solve the problem with n=12n=12and p=0.89p=0.89. Go with at least three significant digits.

 

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