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In: Economics

Exercise 5.19 Private jet shopping Suppose you are fortunate (or delusional) enough to be shopping for...

Exercise 5.19 Private jet shopping Suppose you are fortunate (or delusional) enough to be shopping for a private jet. You have to decide whether to get a jet with one or two engines. Use p to denote the probability that an engine fails during any one flight. A “catastrophic engine failure” is an engine failure that makes the plane unable to fly. (a) One of the jets you are looking to buy has only one engine. What is the probability of a catastrophic engine failure during any one flight with this plane? (b) Another jet you are looking to buy has two engines, but is unable to fly with only one functioning engine. Assume that engine failures are independent events. What is the probability of a catastrophic engine failure during any one flight with this plane? (c) Which jet strikes you as safer? (d) What if the twin-engine jet can fly with only one functioning engine?

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