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A particular model of a jet engine is used in a two-engine plane and a four- engine plane. The probability that one of these engines
A particular model of a jet engine is used in a two-engine plane and a four- engine plane. The probability that one of these engines fails in flight is p. The two-engine plane will crash only if both engines fail, and the four-engine plane will crash only if three or more engines fail. Assume engine failure is the only cause of plane crashes, and that the engines operate independently. (a) What is the probability that the two-engine plane crashes? (b) What is the probability that the four-engine plane crashes?
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