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

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) (Show Source): You can put this solution on YOUR website!
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.
---------------------------
Binomial Problem with n = 4 and p = 0.99
---
P(2<= x <=4) = 1 - P(0<=x<=1) = 1 - 0.00000397
= 0.99999603
==========================
Cheers,
Stan H.
=================
RELATED QUESTIONS
assume that airplane engines operate independently of each other and that at least half... (answered by Fombitz)

A plane has three engines—a central engine and an engine on each wing. The plane will... (answered by ikleyn)

A trimotor plane has three engines—a central engine and an engine on each wing. The... (answered by ikleyn)

1.Suppose that airplane engines operate independently in flight and fail with probability (answered by stanbon)

A two-engine plane will land safely if at least half of it�s engines function properly.... (answered by Alan3354)

Suppose that you work for a newly restructured automotive company with nearly 100,000... (answered by Theo)

Suppose that you work for a newly restructured automotive company with nearly 100,000... (answered by solver91311)

A commercial jet has four engines. For an air craft in flight to land safely, at least... (answered by ikleyn)

A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at... (answered by Fombitz)