SOLUTION: exposure of a certain fruit fly population to an insecticide has produced 2 kinds of mutations. 20% have wing mutation, 15% have an eye mutation and 5% have both. a fly is selected

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Question 405504: exposure of a certain fruit fly population to an insecticide has produced 2 kinds of mutations. 20% have wing mutation, 15% have an eye mutation and 5% have both. a fly is selected at random. (A) if it has the wing mutation. what is the probability that it also has the eye mutation? (B) if it has the eye mutation. what is the probability that it also has the wing mutation?
(C)what is the probability that it has at least one of that muttions?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
exposure of a certain fruit fly population to an insecticide has produced 2 kinds of mutations.
20% have wing mutation,
15% have an eye mutation and
5% have both.
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a fly is selected at random.
(A) if it has the wing mutation. what is the probability that it also has the eye mutation?
P(e|w) = P(e AND w)/P(w) = 0.05/0.20 = 1/4
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(B) if it has the eye mutation. what is the probability that it also has the wing mutation?
P(w|e) = (P(w AND e)/P(e) = 0.05/0.15 = 1/3
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(C)what is the probability that it has at least one of that muttions?
P(at least one) = 1-P(none) = 1-0.8*0.85 = 1-0.68 = 0.32
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Cheers,
Stan H.