Question: 31. Suppose that an aircraft engine will fail in flight with probability 1p independently of the planes other engines. Also suppose that a plane can

31. 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.

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