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At least one-half of an airplanes engines are required to
Chapter , Problem 5(choose chapter or problem)
At least one-half of an airplanes engines are required to function in order for it to operate. If each engine independently functions with probability p, for what values of p is a 4-engine plane more likely to operate than a 2-engine plane?
Questions & Answers
QUESTION:
At least one-half of an airplanes engines are required to function in order for it to operate. If each engine independently functions with probability p, for what values of p is a 4-engine plane more likely to operate than a 2-engine plane?
ANSWER:Step 1 of 5
It is given that at least one half of an airplane's engine is required to function in order for it to operate. Also each engine independently word with probability p.
Since each engine is assumed to fail or work independently of what happens with the other engine, it follows that the number of engines remaining operative is a binomial random variable.