A general contracting firm experiences cost overruns on 20% of its contracts. In a company audit, 20 contracts are sampled at random. a) What is the probability that exactly four of them experience cost overruns? b) What is the probability that fewer than three of them experience cost overruns? c) What is the probability that none of them experience cost overruns? d) Find the mean number that experience cost overruns. e) Find the standard deviation of the number that experience cost overruns.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A general contracting firm experiences cost overruns on 20% of its contracts. In a company audit, 20 contracts are sampled at random. a) What is the probability that exactly four of them experience cost overruns? b) What is the probability that fewer than three of them experience cost overruns? c) What is the probability that none of them experience cost overruns? d) Find the mean number that experience cost overruns. e) Find the standard deviation of the number that experience cost overruns.

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