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quiz 3

# quiz 3 - of the program c The store policy is to have eight...

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Quiz 3 Name 1. A manufacturer of disk controllers subjects each new controller to rigorous testing. Of newly assembled controllers, 84% pass the test with no rework. Controllers that fail the initial test are reworked once; 75% of these machines pass a second test. Those controllers that fail the second test are reworked a second time and retested; 90% of them pass and the rest are scrapped. De ne Y to be the number of rework cycles for a randomly chosen controller. a. Specify the possible values of Y . b. Calculate the probability distribution of Y . HINT: A probability tree may be helpful. 2. The weekly demand X for copies of a popular word-processing program at a computer store has the following probability distribution: x 0 1 2 3 4 5 6 7 8 9 10 P X ( x ) .07 .14 .16 .13 .12 .10 .08 .07 .06 .04 .03 a. What is the probability that three or more copies of the program will be demanded in a particular week? b. What is the probability that the demand will be for at least two but no more than six copies
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Unformatted text preview: of the program? c. The store policy is to have eight copies of the program available at the beginning of every week. What is the probability that the demand will exceed the supply in a particular week? 3. An o²ce furniture store is having a sale on a certain type of o²ce chair. Let Z be the number of chairs sold to an individual customer. The probability distribution for Z is as follows: z 1 2 3 4 P Z ( z ) .15 .4 .1 .35 a. Find the probability that the number of chairs sold to an individual customer is odd. b. Find the probability that the number of chairs sold to an individual customer is even. HINT: Consider using the previous part and the complements law. c. Given that at least 2 chairs are sold to an individual customer, what are the chances that X is odd? 1...
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