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Problem 7 Consider a batch of 20 devices out of which 5 devices are defective (D

ID: 3058385 • Letter: P

Question

Problem 7 Consider a batch of 20 devices out of which 5 devices are defective (D). The batch is inspected by choosing randomly a sample of 4 devices (the 4 items are taken at the same time). 1- How many different samples (of 4 devices) are possible? 2- How many sample of 4 devices contain exactly one defective device? 3- How many sample of 4 devices contain at least one defective device? 4- What is defective device? the probability to select a sample of 4 devices containing only one 5- What is the probability to select a sample of 4 devices that has no defective device?

Explanation / Answer

Problem 7 Consider a batch of 20 devices out of which 5 devices are defective (D). The batch is inspected by choosing randomly a sample of 4 devices (the 4 items are taken at the same time). 1- How many different samples (of 4 devices) are possible? 2- How many sample of 4 devices contain exactly one defective device? 3- How many sample of 4 devices contain at least one defective device? 4- What is defective device? the probability to select a sample of 4 devices containing only one 5- What is the probability to select a sample of 4 devices that has no defective device?