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=0.512 =3C0*.20*.83(b) one machine breaks down=0.384=3C1*.21*.82(c) two machines break down=0.096=3C2*.22*.81(d) all three machines break down=0.008=3C3*.23*.80

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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=0.512 =3C0*.20*.83
(b) one machine breaks down=0.384=3C1*.21*.82
(c) two machines break down=0.096=3C2*.22*.81
(d) all three machines break down=0.008=3C3*.23*.80

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