Question

If you schedule production of communications chips. After the chips are produced, they go to the QC department, where each chip must pass a 2 hour test. Over the past year, 5.0% of the chips have failed this test. If you wish to choose a batch size that will yield as close as possible to 1,000 good chips, on average. What is the best batch size

Answer 1

1053

Explanation:

Answer 2

A batch of 1053 chips

Explanation:

Given that over the past year, 5% of chips fail have failed the test

This mean in every batch size selected, 5% of the chips will fail

If 5% of chips fail the test, 95% of chip pass the test

Lets assume a batch size of x number of chips

You know 95% of the chips will pass and the expected value of good chips is 1000 then

`(95)/(100) *x=1000\\\\\\95x=100000\\\\\\x=(100000)/(95) \\\\\\x=1052.63\\\\\\x=1053`