SOLUTION: A trimotor plane has three engines—a central engine and an engine on each wing. The plane will crash only if the central engine fails and at least one of the two wing engines fa

Algebra ->  Probability-and-statistics -> SOLUTION: A trimotor plane has three engines—a central engine and an engine on each wing. The plane will crash only if the central engine fails and at least one of the two wing engines fa      Log On


   

Question 1168079: A trimotor plane has three engines—a central engine and an engine on each wing. The plane
will crash only if the central engine fails and at least one of the two wing engines fails. The
2
probability of failure during any given flight is .005 for the central engine and .008 for each of
the wing engines. Assuming that the three engines operate independently, what is the
probability that the plane will crash during a flight?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A trimotor plane has three engines—a central engine and an engine on each wing. The plane
will crash only if the central engine fails and at least one of the two wing engines fails. The
highlight%28cross%282%29%29 probability of failure during any given flight is .005 for the central engine and .008 for each of
the wing engines. Assuming that the three engines operate independently, what is the
probability that the plane will crash during a flight?
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            Notice how I edited your post. 


Let the engines be C (central), L (left wing engine) and R (right wing engine).


Then the probability to crash  is


    P = P(C fails)*P(L fails OR R fails) = 0.005*(0.008 + 0.008 - 0.008*0.008) =  0.005*0.015936 = 0.00007968.      ANSWER

Solved.