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Stumped on a probability question. Tried a conditional probability/contingency table approach to...

The Air Force receives 20% of its parachutes from Company C1, 55% from company C2, and the rest from company C3. The probability that a randomly selected parachutefails to open is 0.0025, 0.002, and 0.0022 depending on whether it came from Company C1, C2, or C3 respectively. If a randomly selected parachute fails to open, whatis the probability that it came from Company C3?
a .00055
b .00215
c .0022
d .250
e .256
math   statistics and probability   
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Answer #1
b .00215
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Answer #2

The object is to find the probability of randomly selected parachute fails to open, then it is from company C3

.

The following is the information provided

Where, F is the failure of the parachute.

Now,

The probability of randomly selected parachute fails to open, then it is from company C3 is

The correct choice is (E).

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