A First Course In Probability, Global Edition
A First Course In Probability, Global Edition
10th Edition
ISBN: 9781292269207
Author: Ross, Sheldon
Publisher: PEARSON
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Chapter 9, Problem 9.18PTE
To determine

To show: that for a binary symmetric channel with given condition.

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A mechatronic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter >= 0.02. (a) What is the probability that an assembly will have exactly one defect? (b) What is the probability that an assembly will have one or more defects? (c) Suppose that you improve the process so that the occurrence rate of defects is cut in half to λ = 0.01. What effect does this have on the probability that an assembly will have one or more defects?
A random sample of 50 units is drawn from a production process every half hour. The fraction of non-conforming product manufactured is 0.02. What is the probability that p < 0.04 if the fraction non-conforming really is 0.02?
A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly located on those pages. Find the probability that a random selection of 50 pages will contain no errors. Find the probability that 50 randomly selected pages will contain at least two errors.
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