The Probability That an Airplane Engine Will Fail in a Transcontinental

question 241

Short Answer

The probability that an airplane engine will fail in a transcontinental flight is 0.002. Assuming that engine failures are independent of each other, what is the probability that, on a certain transcontinental flight, a four-engine plane will experience exactly one engine failure? Round the answer to six decimal places, if necessary.
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What is the probability that a four-engine plane will experience exactly two engine failure? Round the answer to six decimal places, if necessary.
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What is the probability that a four-engine plane will experience more than two engine failures? (Note: In this event, the airplane will crash!) Round the answer to nine decimal places, if necessary.
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Definitions:

Tax Purposes

The reasons or motivations behind decisions or actions taken to comply with tax laws and regulations.

Valuation Allowance

A reserve created to account for future tax benefits that may not be realized, reducing the reported value of deferred tax assets to an amount that is more likely to be realized.

Deferred Tax Asset

This asset reflects the future tax benefits that a company is entitled to, due to deductible temporary differences and carryforwards.

Operating Loss

A loss that occurs when a company's operating expenses exceed its revenues.