A microchip company models the probability of having no faulty chips on a single production run as:

Question:

A microchip company models the probability of having no faulty chips on a single production run as:


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where p is the probability of a single chip being faulty, and n being the total number of chips produced.


a. State why the model is restricted to small values of p.


b. Given that n = 200, find an approximate expression for P(no fault) in the form a + bp + cp2.


c. The company wants to achieve a 92% likelihood of having no faulty chips on a production run of 200 chips. Use your answer to part b to suggest a maximum value of p for this to be the case.

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