An airplane has four engines. On a flight from NewYork to Paris, each engine has a 0.001 chance of failing. Theplane will crash if at any time two or fewer engines areworking properly. Assume that the failures of differentengines are independent.a What is the probability that the plane will crash?b Given that engine 1 will not fail during the flight,what is the probability that the plane will crash?

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An airplane has four engines. On a flight from New
York to Paris, each engine has a 0.001 chance of failing. The
plane will crash if at any time two or fewer engines are
working properly. Assume that the failures of different
engines are independent.
a What is the probability that the plane will crash?
b Given that engine 1 will not fail during the flight,
what is the probability that the plane will crash?

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