A factory makes processors for use in computers. it is known that about 90% of the processors meet specifications. every week a sample of 18 processors is selected at random for testing. assume a binomial distribution is valid. suppose you collect a large number of these samples of 18 processors and determine the number meeting specifications in each sample. what is the mean number of processors meeting specifications?

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Mathematics

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30 April, 16:40

A factory makes processors for use in computers. it is known that about 90% of the processors meet specifications. every week a sample of 18 processors is selected at random for testing. assume a binomial distribution is valid. suppose you collect a large number of these samples of 18 processors and determine the number meeting specifications in each sample. what is the mean number of processors meeting specifications?

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Burton · Answer 1

Sample Size = n = 18

Proportion of processor which meet specifications = p = 90% = 0.90

We are given that the Binomial distribution is valid for the given case. The mean value of the binomial distribution can be calculated as:

Mean = np

Using the values of n and p for given case, we get:

Mean = 18 x 0.90 = 16.2

So, on average 16.2 processor will meet the specifications