Example 8.29 A manufacturing firm receives shipments of machine parts from two suppliers A and B.Currently, 65 per cent of parts are purchased from supplier A and the remaining from supplier B. Thepast record shows that 2 per cent of the parts supplied by A are found defective, whereas 5 per cent ofthe parts supplied by B are found defective. On a particular day the machine breaks down because adefective part is fitted to it.Given the information that the part was bad, using Bayes' theorem find the probability that it wassupplied by supplier B.

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Answered: Example 8.29 A manufacturing firm…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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CHALLENGE ACTIVITY 9.10.2: Relational databases select and project. 457726.2979310.qx3zqy7 Jump to level 1 What operation should be performed if you wanted to know what airlines fly to Honolulu? Airline FlyRight 222 FlyRight 199 FlyRight 323 FlyRight 122 JetGreen 221 et Green 22 JetGreen 199 Flight Number Select[Ex: Gate="22" Check Next Gate 34 Detroit 13 Denver 34 Detroit 22 33 22 22 2 Destination Anchorage Anchorage Honolulu Denver Departure Time 08:49 08:56 09:24 09:30 09:51 09:53 09:55 Project[ Ex: Destination ] 3 4 1 ~ ~ D 2 3 4 Feedback?
A researcher thinks some social media sites are more prone to narcissistic behavior (excessive posting) than others. To examine the relationship between narcissism and social media, she recruits users of three different social media sites (Facebook, Twitter and Instagram), follows them for 24 hours and records the number of posts made by each user. The number of posts is given in the table below. Twitter Facebook Instagram 10 7 14 10 8. 10 10 10 11 9. www. 12 wwww. 11 13 12 8. 7 8. 11 8 10 12 11 11 a. Perform a complete hypothesis test to determine whether there are any significant differences among the three groups. Test at the .05 level of significance. SHOW ALL YOUR WORK b. Do you need to perform post hocs? Explain but do not compute the post hocs. C. Compute effect size. d. Summarize your findings in a source table. e. Write an interpretation of our results in APA-format (include means and SDs in your interpretation)
Suppose you are a production manager for a small firm that manufactures designer phone cases. Your production facility utilizes three machines. Quality is binary — each phone case is either defective or it is not defective. Each hour, Machines 1, 2, and 3 produce 10, 10 and 20 phone cases, respectively. But because the machines differ slightly in their technology, data on past production has shown that they differ in terms of their rates of defective output — specifically, Machines 1, 2, and 3 have rates of defective production of 2%, 4%, and 5%, respectively. If one phone case is selected randomly from one hour’s total output, and that phone case is found to be defective, what is the probability that it was produced by Machine 1? Machine 2? Machine 3?
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1. A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8. 6. 8 10 12 11 10 M3 = 10 M1=6 SS1 = 2 M2 = 10 SS2 = 10 SS2 = 8 Source SS df MS F Between 42.67 21.335 9.60 Within 20 6. 2.2222 Total 62.67 11 (a) Do a Tukey HSD to determine which means are different. In sentence form, explain what these results mean in context of the problem. 2.
5. A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Cognitive Disorders 12, Affective Disorders Drug-Related Conditions 7. 8. 6. 8. 10 5. 6. 12 11 10 Mı=6 M2 = 10 M3 = 10 %3D %3D SS, = 2 SS2 = 10 SS2 = 8 SSBetween= 42.67 a. What test are you going to perform? b. List the hypotheses c. List the decision rule d. Perform the ANOVA e. Complete the ANOVA table Source SS df MS Between Within Total f. Report your ANOVA result in APA format.
8. Archaeology: Ireland Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. One such artifact is Bronze Age spearheads recovered from ancient rivers in Ireland. A recent study gave the following information regarding discoveries of ancient bronze spearheads in Irish rivers. River Bann Blackwater Erne Shannon Barrow No. of spearheads 19 15 33 14 (Based on information from Crossing the Rubicon, Bronze Age Studies 5, Lorraine Bourke, Department of Archaeology, National University of Ireland, Galway.) (a) Make a Pareto chart for these data. (b) Make a circle graph for these data.
A car rental agency in a major city has a total of 4600 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Returned to AP DT CA 90% 10% 10% Airport (AP) Downtown (DT) 5% 80% 5% Rented from At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)? AP DT CA Need Help? cars cars cars Read It Watch t Talk to a Tutor

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