Guidance Missile System A missile guidance system has eight fail-safe components. The probability of each failing is 0.05. Assume the variable is binomial. Find the following probabilities. Do not round intermediate values. Round the final answer to three decimal places. (a) Exactly two will fail. P(exactly two will fail) =
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A missile guidance system has eight fail-safe components. The probability of each failing is 0.1. Assume the variable is binomial. Find the following probabilities. Round your answers to three decimal places. a. Exactly three will fail. P (exactly three will fail) = Compute the probability of X successes, using the binomial distribution table. n = 3, p = 0.8, X = 2 P(X) =
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In a letter to the editor that appeared in the February 23,1987, issue of U.S. News and World Report, a reader discussed the issue of space-shuttle safety. Each "criticality 1" item must have a $99.99 \%$ reliability, by NASA standards, which means that the probability of failure for a "criticality 1" item is only $0.0001 .$ Mission 25, the mission in which the Challenger exploded on takeoff, had 748 "criticality 1" items. Use the Poisson approximation to the binomial distribution to determine the approximate probability that a. none of the "criticality 1" items would fail. b. at least one "criticality 1 " item would fail.
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