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Contents
1IntroductiontoStatisticsandDataAnalysis1
2Probability11
3RandomVariablesandProbabilityDistributions27
4Mathematical Expectation41
5SomeDiscreteProbabilityDistributions55
6SomeContinuousProbabilityDistributions67
7FunctionsofRandomVariables79
8 FundamentalSamplingDistributionsandDataDescriptions85
9One-andTwo-SampleEstimationProblems97
10One-andTwo-SampleTestsofHypotheses113
11 SimpleLinearRegressionandCorrelation139
12MultipleLinearRegressionandCertainNonlinearRegressionModels161
13One-FactorExperiments:General175
14Factorial Experiments(TwoorMoreFactors)197
152kFactorialExperimentsandFractions219
16NonparametricStatistics233
17StatisticalQuality Control247
18BayesianStatistics251
iii
Solutions Manual for Probability and Statistics for Engineers and Scientists 9th Edition by Walpole
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Instructor’s Manual for
INTRODUCTION TO
PROBABILITY AND STATISTICS
FOR ENGINEERS AND SCIENTISTS
Fifth Edition
Sheldon M. Ross
Department of Industrial Engineering and Operations Research
University of California, Berkeley
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Chapter 1
1. Method (c) is probably best, with (e) being the second best. 2. In 1936 only upper middle class and rich people had telephones. Almost all voters have telephones today. 3. No, these people must have been prominent to have their obituaries in the Times; as a result they were probably less likely to have died young than a randomly chosen person. 4. Locations (i) and (ii) are clearly inappropriate; location (iii) is probably best. 5. No, unless it believed that whether a person returned the survey was independent of that person’s salary; probably a dubious assumption. 6. No, not without additional information as to the percentages of pedestrians that wear light and that wear dark clothing at night. 7. He is assuming that the death rates observed in the parishes mirror that of the entire country. 8. 12,246/=612, 9. Use them to estimate, for each present age x , the quantity A ( x ), equal to the average additional lifetime of an individual presently aged x. Use this to calculate the average amount that will be paid out in annuities to such a person and then charge that person 1 + a times that latter amount as a premium for the annuity. This will yield an average profit rate of a per annuity.
10. 64 percent, 10 percent, and 48 percent.
1