SOLUTION: suppose a factory contains two machines. there is a 19 % probability that the first machine will break down and a 22 % chance the second machine breaks down. the two machines are i

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Question 267798: suppose a factory contains two machines. there is a 19 % probability that the first machine will break down and a 22 % chance the second machine breaks down. the two machines are independent.
A. what is probability both machines break down
B. what is the probability AT LEAST one machine breaks down
C. What is probability that only one breaks down.
A. Pr (A and B) = .0418
B. ?
C. ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suppose a factory contains two machines. there is a 19 % probability that the first machine will break down and a 22 % chance the second machine breaks down. the two machines are independent.
A. probability both machines break down = (0.19)(0.22)
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B. probability AT LEAST one machine breaks down = 1-(p(neither breaks down)
= 1 - [0.81*0.78]
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C. probability that only one breaks down = 1 - P[both break down]-P[neither
breaks down] = 1 - (ans. to A)- 0.81*0.78
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Cheers,
Stan H.
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A. Pr (A and B) = .0418
B. ?
C. ?