Guidance Missile System
A missile guidance system has five fail-safe components. The probability of each failing is 0.2. Assume the variable is binomial. Find the following probabilities. Do not round intermediate values. Round the final answer to three decimal places.
(a) Exactly three will fail. P(exactly three fail) =
(b) More than three will fail. P(more than three fail) =
(c) P(all will fail) =
(d) Compare the answers for parts a, b, and c, and explain why these results are reasonable. Since the probability of each event becomes less likely, the probabilities become (Choose one).