Engines Airplane Operate Independently Probability Individual Engine Operates Without Fail Q34267232

The engines on an airplane operate independently, and theprobability that any individual engine operates without failure fora trip is 95%. An airplane will be able to safely complete a flightif at least half its engines operate for the entire trip. Does atwo-engine or four-engine airplane have a better chance of asuccessful flight trip. Why?

Expert Answer

The probability of no failure, p = 0.95

Probability of failure, q = 0.05

Probability of successful trip(x) = C(n,x) * p^x * q^(n-x)

Where n = 4, and x is the failure of number of engines
p is the probability of success which is equal to .95
q is