The probability that an airplane engine will fail in a transcontinental flight is 0.002. Assuming that engine failures are independent of each other, what is the probability that a four-engine plane will experience exactly two engine failure?
A) 0.000024
B) 0.000022
C) 0.000028
D) 0.000029
E) 0.000025

Question

Quizplus · Accepted Answer

The probability of exactly two engine failures in a four-engine plane can be calculated using the binomial probability formula: P(X=k) = C(n, k) * p^k * (1-p)^(n-k), where n=4, k=2, and p=0.002. This results in 6 * (0.002)^2 * (0.998)^2 = 0.000024.

The Probability That an Airplane Engine Will Fail in a Transcontinental