large cereal manufacturer promises 5 boxes of raisins in each box of boxes with various dried fruits, and any package that has less than 5 boxes of raisins is considered defective. A customer is willing to accept a maximum of just 1% defective packaging. The manufacturer agreed with this suggestion but insisted on limiting its risk to 3%. In batches of 15000 packages, samples are taken from 200 packages at random. 2.1. The customer also considers that batches with 5% or more of defective packaging are unacceptable and wants guarantees from the cereal manufacturer that it does not supply batches with inferior quality in more than 7% of shipments. Do you find the plan satisfactory? Justify the answer with the calculations made. 2.2. For the plan defined in 2., what is the number of defective packaging acceptance that will result in the rejection of that shipment? Justify the answer with the calculations made explaining each of the underlying concepts. Interpret the result obtained.

large cereal manufacturer promises 5 boxes of raisins in each box of boxes with various dried fruits, and any package that has less than 5 boxes of raisins is considered defective. A customer is willing to accept a maximum of just 1% defective packaging. The manufacturer agreed with this suggestion but insisted on limiting its risk to 3%. In batches of 15000 packages, samples are taken from 200 packages at random. 2.1. The customer also considers that batches with 5% or more of defective packaging are unacceptable and wants guarantees from the cereal manufacturer that it does not supply batches with inferior quality in more than 7% of shipments. Do you find the plan satisfactory? Justify the answer with the calculations made. 2.2. For the plan defined in 2., what is the number of defective packaging acceptance that will result in the rejection of that shipment? Justify the answer with the calculations made explaining each of the underlying concepts. Interpret the result obtained.

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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Certain shipments are guaranteed to contain no more than 15% defective units. The inspection consists in that if of a sample of size 10 the proportion of defective units is greater than 15%, the shipment will be returned. If in fact 15% of the shipment is defective, how likely is it to pass inspection %?
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3. At a factory that produces doorknobs, a batch of 1500 doorknobs has just been produced. To check the quality of the doorknobs, a random sample of 100 doorknobs is selected to test for defects. Out of these 100 doorknobs, 2 were found to be defective. Based on these results, what is the best estimate you can give for the number of defective doorknobs in the batch of 1500? Solve this problem in two different ways, explaining your reasoning in each case. just been
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