SOLUTION: A commercial jet has four engines. For an air craft in flight to land safely, at least two engines would be working condition. Each engine has an independent proabability of 92%. w

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Question 1148849: A commercial jet has four engines. For an air craft in flight to land safely, at least two engines would be working condition. Each engine has an independent proabability of 92%. what is the probability that an air craft in flight can land safely?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Probability to land safely is the sum of these addends


    probability  of all 4 engines work properly,  PLUS

    probability some 3 engines work properly AND one not, PLUS

    probability some 2 engines work properly AND two others not.



The formula is

    P(land safely) = 0.92%5E4 + C%5B4%5D%5E3%2A0.92%5E3%2A%281-0.92%29 + C%5B4%5D%5E2%2A0.92%5E2%281-0.92%29%5E2 = 

                   = 0.92%5E4+%2B+4%2A0.92%5E3%2A0.08+%2B+6%2A0.92%5E2%2A0.08%5E2 = 0.998075.     ANSWER

Solved.


Very practical problem !

Wish you and all participants of this forum safe landing (!)