A data center contains 1000 computer servers. Each server has probability 0.003 of failing on a given day. a) What is the probability that exactly two servers fail? b) What is the probability that fewer than 998 servers function? c) What is the mean number of servers that fail? d) What is the standard deviation of the number of servers that fail?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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A data center contains 1000 computer servers. Each server has probability 0.003 of failing on a given day. a) What is the probability that exactly two servers fail? b) What is the probability that fewer than 998 servers function? c) What is the mean number of servers that fail? d) What is the standard deviation of the number of servers that fail?

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