From a shipment of 35 transistors, 6 of which are defective, a sample of 8 transistors is selected at random

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From a shipment of 35 transistors, 6 of which are defective, a sample of 8 transistors is selected at random

[From: ] [author: ] [Date: 12-03-05] [Hit: ]

535,820 samples that can be drawn, 22,330 will contain at least 5 defects, although this is a highly unusual query, generally its the probability thats relevant !......

How many samples contain at least 5 defective transistors?

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hypergeometric distribution (drawal w/o replacement), use combinations

P[at least 5 defective] = (6c5*29c3 + 6c6*29c2)/35c8 = 1/1054

of 23,535,820 samples that can be drawn, 22,330 will contain at least 5 defects, although this is a highly unusual query, generally it's the probability that's relevant !

1

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