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.

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.

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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Question

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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