We want to find the probability that the risk of a hazard will not occur in a system. Given two scenarios are “no risk,” and all other scenarios have “risk”. The probabilities of the two “no risk” scenarios are estimated as p1= 0.87 and p2= 0.98. The corresponding standard deviations are s1 = 0.03 and s2 = 0.06. Find the mean and standard deviation of the overall system success (no risk) and system failure (risk).

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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8 We want to find the probability that the risk of a hazard will not occur in a system. Given two scenarios are “no risk,” and all other scenarios have “risk”. The probabilities of the two “no risk” scenarios are estimated as p1= 0.87 and p2= 0.98. The corresponding standard deviations are s1 = 0.03 and s2 = 0.06. Find the mean and standard deviation of the overall system success (no risk) and system failure (risk).
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