A roll of steel is manufactured on a processing line The ant

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10 foot segment of this roll is 2. What are the mean and the standard deviation of the number of defects in 25 feet of steel?

Solution

This is a Poisson Process.

The mean for a 25-feet long steel is 2*(25/10) = 5 defects.

In a Poisson distirbution,

standard deviation = sqrt(mean) = sqrt(5) = 2.236067977

Thus,

mean = 5 [ANSWER]

standard deviation = 2.236067977 [ANSWER]