SOLUTION: each of the four engines on an airplane functions correctly on a given flight with probability .99., and the engines function independently of each other. Assume that the plane can

Algebra ->  Probability-and-statistics -> SOLUTION: each of the four engines on an airplane functions correctly on a given flight with probability .99., and the engines function independently of each other. Assume that the plane can      Log On


   

Question 506207: each of the four engines on an airplane functions correctly on a given flight with probability .99., and the engines function independently of each other. Assume that the plane can make a safe landing if at least two engines are functioning correctly. What is the probability the engines will allow the plane to land safely.
Answer by stanbon(75887) About Me  (Show Source):
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each of the four engines on an airplane functions correctly on a given flight with probability .99., and the engines function independently of each other. Assume that the plane can make a safe landing if at least two engines are functioning correctly. What is the probability the engines will allow the plane to land safely.
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Binomial Problem with n = 4 and p = 0.99
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P(2<= x <=4) = 1 - P(0<=x<=1) = 1 - 0.00000397
= 0.99999603
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Cheers,
Stan H.
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