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
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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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