Question: In Exercise 49, find the probability that at least one engine functions properly (the sum of the terms containing 0.95 4 , 0.95 3 ,
In Exercise 49, find the probability that at least one engine functions properly (the sum of the terms containing 0.954 , 0.953, 0.952, and 0.951). Round to the third decimal place.
Data from Exercises 49
A mechanical system has 4 redundant engines, each with a 95% probability of functioning properly. When the binomial theorem is used to expand (0.95 + 0.05)4 , the resulting terms give the probabilities of exactly 4, 3, 2, 1, and 0 engines functioning properly. Find the probability of exactly 3 engines functioning properly (the term containing 0.953). Round to the third decimal place.
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