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In: Statistics and Probability

Solution Procedure: In solving these problems and subsequent ones, use the following procedure: (1) Define the...

Solution Procedure: In solving these problems and subsequent ones, use the following procedure: (1) Define the events of interest. (2) Write down the information given. (3) Write down the question. (4) Use the appropriate rule to answer the question.

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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Expert Solution

orchestra answered 1 year ago
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