Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition, the number of defects per unit is distributed according to a Poisson distribution. A batch has just been completed. What is the probability that the first three units manufactured in this batch will contain at least a total of 4 defects?
A) .8488
B) .7149
C) .1512
D) .2851

Question

Quizplus · Accepted Answer

P(X ≥ 4) = 1 − [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]
= 1 − (.0025 + .0149 + .0446 + .0892) = .8488

Historical Data for a Local Manufacturing Company Show That the Average