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.

Step by Step Solution

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find the probability of at least one engine functioning properly we need to sum the proba... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!