Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Question
Chapter 12.10, Problem 35P
Summary Introduction
Interpretation:
The probability that the lot is rejected on the first sample is to be determined.
Concept Introduction:
Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.
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For the double sampling plan for Spire CDs presented in this section, what is theprobability that a lot is rejected on the first sample? Perform the computation forboth p = p0 and p = p1.
A company employs the following sampling plan: It draws a sample of 10 percentof the lot being inspected. If 1 percent or less of the sample is defective, the lot isaccepted. Otherwise the lot is rejected. c. If a lot contains 10,000 items of which 200 are defective, what is the probability that the lot is accepted?
Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesa. Accepted?
Chapter 12 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 4PCh. 12.1 - Prob. 5PCh. 12.1 - Prob. 6PCh. 12.2 - Prob. 7PCh. 12.2 - Prob. 8PCh. 12.2 - Prob. 9PCh. 12.2 - Prob. 10PCh. 12.2 - Prob. 11P
Ch. 12.2 - Prob. 12PCh. 12.2 - Prob. 13PCh. 12.3 - Prob. 14PCh. 12.3 - Prob. 15PCh. 12.3 - Prob. 16PCh. 12.3 - Prob. 17PCh. 12.4 - Prob. 18PCh. 12.4 - Prob. 19PCh. 12.4 - Prob. 20PCh. 12.4 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Prob. 24PCh. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.9 - Prob. 29PCh. 12.9 - Prob. 30PCh. 12.9 - Prob. 31PCh. 12.9 - Prob. 32PCh. 12.9 - Prob. 33PCh. 12.10 - Prob. 34PCh. 12.10 - Prob. 35PCh. 12.10 - Prob. 37PCh. 12.10 - Prob. 38PCh. 12.10 - Prob. 39PCh. 12.10 - Prob. 40PCh. 12.11 - Prob. 41PCh. 12.11 - Prob. 42PCh. 12.11 - Prob. 43PCh. 12.11 - Prob. 44PCh. 12.12 - Prob. 46PCh. 12.12 - Prob. 47PCh. 12.12 - Prob. 48PCh. 12 - Prob. 49APCh. 12 - Prob. 50APCh. 12 - Prob. 51APCh. 12 - Prob. 52APCh. 12 - Prob. 53APCh. 12 - Prob. 54APCh. 12 - Prob. 55APCh. 12 - Prob. 57APCh. 12 - Prob. 58APCh. 12 - Prob. 59APCh. 12 - Prob. 60APCh. 12 - Prob. 61APCh. 12 - Prob. 62APCh. 12 - Prob. 63APCh. 12 - Prob. 64APCh. 12 - Prob. 65APCh. 12 - Prob. 66APCh. 12 - Prob. 67APCh. 12 - Prob. 68APCh. 12 - Prob. 69APCh. 12 - Prob. 70AP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesd. Accepted on the second sample?arrow_forwardConsider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesb. Rejected?arrow_forwardConsider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchese. Rejected on the first sample?arrow_forward
- Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesf. Rejected on the second sample?arrow_forwardA company employs the following sampling plan: It draws a sample of 10 percentof the lot being inspected. If 1 percent or less of the sample is defective, the lot isaccepted. Otherwise the lot is rejected.b. If a lot contains 1,000 items of which 20 are defective, what is the probabilitythat the lot is accepted?arrow_forwardConsider the following double sampling plan. First select a sample of 5 from a lotof 100. If there are four or more defectives in the sample, reject the lot. If there isone or fewer defective, accept the lot. If there are two or three defectives, samplean additional five items and reject the lot if the combined number of defectives inboth samples is five or more. If the lot has 10 defectives, what is the probabilitythat a lot passes the inspection? For the double sampling plan described in Problem 39, determine the following:b. The probability that the lot is rejected based on the second sample.arrow_forward
- A single sampling inspection scheme for large lot of mass-produced flanges states:From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection.a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p.b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plotthe operating characteristics and average outgoing quality curve.c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for pof 5%.arrow_forwardThe 3-sigma limits for a process whose distribution conforms to the normal distribution includes _______ of the observed values, in the long run. Part 2 A. 99.74% B. 95.44% C. 68.26% D. 50%arrow_forwardDesign the Single Sampling Plan (SSP) that will accept 95% of the lots containing 2% defective parts and will accept only 5% of the lots containing 9% defective parts.arrow_forward
- When a robot welder is functioning properly the cylinders it produces burst (on average) at 3400 psi, with known standard deviation 100 psi. Determine the 3-Sigma mean control chart limits. Test lot sample sizes are n=4 cylinders randomly selected from the production line. a. Centerline = ____ b. Upper Limit = ____ c. Lower Limit = ____ d. What is the probability that random variation will exceed the ± 3-sigma limits ____. (four decimal places with zero before the decimal)arrow_forwardIn an acceptance sampling plan developed for lotscontaining 1,000 units, the sample size n is 85. The percentdefective of the incoming lots is 2%, and the probability ofacceptance is 0.64. What is the average outgoing qualityarrow_forwardA manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.arrow_forward
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