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Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
67.  Suppose that 90% of all batteries from a certain supplier have acceptable voltages. A certain type of ashlight requires two type-D batteries, and the ashlight will work only if both its batteries have ac- ceptable voltages. Among ten randomly selected ashlights, what is the probability that at least nine will work? What assumptions did you make in the course of answering the question posed?
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68.  A very large batch of components has arrived at a distributor. The batch can be characterized as ac- ceptable only if the proportion of defective compo- nents is at most .10. The distributor decides to ran- domly select 10 components and to accept the batch only if the number of defective components in the sample is at most 2.
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a.  What is the probability that the batch will be ac- cepted when the actual proportion of defectives is .01? .05? .10? .20? .25?
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b.  Let p denote the actual proportion of defectives in the batch. A graph of P(batch is accepted) as a function of p, with p on the horizontal axis and P(batch is accepted) on the vertical axis, is called the operating characteristic curve for the accep- tance sampling plan. Use the results of part (a) to sketch this curve for 0 p 1.
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c.   Repeat parts (a) and (b) with 1 replacing 2  in the acceptance sampling plan.
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d.  Repeat parts (a) and (b) with 15 replacing  10 in the acceptance sampling plan.
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e.   Which of the three sampling plans, that of part (a), (c), or (d), appears most satisfactory, and why?
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