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?

Question

Mathematics

Kaylynn

15 January, 15:43

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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Anna White · 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