A commercial jet aircraft has four engines. For an aircraft inflight to land
safely, at least two engines should be in working condition. Eachengine has an independent
reliability of p 92%.
a. What is the probability that an aircraft in flight can landsafely?
b. If the probability of landing safely must be at least 99.5%,what is the minimum
value for p? Repeat the question for probability of landing safelyto
be 99.9%.
c. If the reliability cannot be improved beyond 92% but the numberof
engines in a plane can be increased, what is the minimum numberof
engines that would achieve at least 99.5% probability of landingsafely?
Repeat for 99.9% probability.
d. One
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