Question

Suppose that, for every lot of 100 computer chips a company produces, an average of 1.4 are defective. Another company buys many lots of these chips at a time, from which one lot is selected randomly and tested for defects. If the tested lot contains more than three defects, the buyer will reject all the lots sent in that batch. What is the probability that the buyer will accept the lots?Assume that the defects per lot are Poisson distributed.Round your answer to 4 decimal places.The tolerance is +/- 0.0005.

Answer 1

0.1665

Explanation:

Given that on an average 1.4 are defective per 100 computer chips

If the tested lot contains more than three defects, the buyer will reject all the lots sent in that batch.

Let X be the no of defective items in 100 chips

X is Poisson with mean =1.4

i.e. the probability that the buyer will accept the lots

=
`P(X\geq 3)\\\\=0.16651`

Answer is 0.1665