There are three very old X-ray security machines in the departure complex of an airport. All three machines are exactly the same. The probability that a machine breaks down in the course of a day is 0.2. If they are all in working order at the beginning of a day, and breakdowns are independent of each other, find the probability that during the day: use binomial – success or failure (a) there are no breakdowns= (b) one machine breaks down= (c) two machines break down=0.096= (d) all three machines break down=

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4 There are three very old X-ray security machines in the departure complex of an airport. All three machines are exactly the same. The probability that a machine breaks down in the course of a day is
0.2. If they are all in working order at the beginning of a day, and breakdowns are independent of each other, find the probability that during the day: use binomial – success or failure

(a) there are no breakdowns=
(b) one machine breaks down=
(c) two machines break down=0.096=
(d) all three machines break down=

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