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Hain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it is arrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the other ree engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two engines ver fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for no ngine failures.

Hain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it is arrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the other ree engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two engines ver fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for no ngine failures.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it is carrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the other three engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two engines ever fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for no engine failures.
Transcribed Image Text:In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it is carrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the other three engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two engines ever fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for no engine failures.
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