(solution) Suppose that an aircraft engine will fail in flight with probability 1 − p independently of…

(solution) Suppose that an aircraft engine will fail in flight with probability 1 − p independently of…

Suppose that an aircraft engine will fail in flight with probability 1 − p independently of the plane’s other engines. Also suppose that a plane can complete the journey successfully if at least half of its engines do not fail. (a) Is it true that a four-engine plane is always preferable to a two-engine plane? Explain. (b) Is it true that a five-engine plane is always preferable to a three-engine plane? Explain.