Example 5.3: A large chain retailer purchases a certain kind of electronic device from a manufacturer.The manufacturer indicates that the defective rate of the device is 3%. (a) The inspector randomly picks 20 items from a shipment. What is the probability that there will be at least one defective item among these 20? (b) Suppose that the retailer receives 10 shipments in a month and the inspector randomly tests 20 devices per shipment. What is the probability that there will be exactly 3 shipments each containing at least one defective device among the 20 that are selected and tested from the shipment?

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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Example 5.3: A large chain retailer purchases a certain kind of electronic device from a manufacturer.The manufacturer
indicates that the defective rate of the device is 3%.
(a) The inspector randomly picks 20 items from a shipment. What is the probability that there will be at least one
defective item among these 20?
(b) Suppose that the retailer receives 10 shipments in a month and the inspector randomly tests 20 devices per
shipment. What is the probability that there will be exactly 3 shipments each containing at least one defective device
among the 20 that are selected and tested from the shipment?
Transcribed Image Text:Example 5.3: A large chain retailer purchases a certain kind of electronic device from a manufacturer.The manufacturer indicates that the defective rate of the device is 3%. (a) The inspector randomly picks 20 items from a shipment. What is the probability that there will be at least one defective item among these 20? (b) Suppose that the retailer receives 10 shipments in a month and the inspector randomly tests 20 devices per shipment. What is the probability that there will be exactly 3 shipments each containing at least one defective device among the 20 that are selected and tested from the shipment?
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