SOLUTION: A four-engine plane can fly if at least two engines work.
a. If the engines operate independently and each malfunctions with probability q, what is the probability that the plane
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Question 1166269: A four-engine plane can fly if at least two engines work.
a. If the engines operate independently and each malfunctions with probability q, what is the probability that the plane will fly safely?
b. A two-engined plane can fly if at least one engine works. If an engine malfunctions
with probability q, what is the probability that the plane will fly safe?
c. Which plane is the safest?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since engine failures are independent events, the multiplication rule applies and the probability of three failures is therefore 
. And the probability of two failures is 
. Since 
, by definition is less than or equal to 1, and nobody would actually ride in an airplane unless was nearly zero, cannot be larger than , and most likely is considerably smaller.
John
My calculator said it, I believe it, that settles it
I > Ř
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