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3) An airplane has 2 engines. P(malfunction) = .0004 for a single engine on a single flight and these malfunctions are independent. A flight will crash if both engines malfunction on that flight. The plane makes 3 roundtrips per day [which is 6 flights]. Find: [hint: numbers like 4.95E-5 should be written as .0000495] e) How long can the plane be in service with a probability of any engine malfunction being less than 20%? [hint: find the number of engine uses then find how long] f) P(first flight crashes) = [write as decimal without scientific notation] g) P(first flight does not crash) = h) P(at least one crash in first month) = i) P(no crash in first 3 months) = j) How long can the plane be in service with a probability of any crash being less than 2%? [hint: find the number of flights then find how long]
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