Historical data for a local steel manufacturing company show that the average number of defects per standard sheet of steel is 2.In addition,the number of defects per unit is distributed according to a Poisson distribution.What is the probability that there will be a total of 7 defects on four standard sheets of steel?
A).8750
B).1221
C).0573
D).1396

Question

Quizplus · Accepted Answer

The average number of defects for four sheets is 8 (2 defects per sheet * 4 sheets). Using the Poisson distribution formula, the probability of observing 7 defects is calculated as P(X=7) = (e^(-8) * 8^7) / 7! = 0.1396.

Historical Data for a Local Steel Manufacturing Company Show That