Statistics Help

Question

A company manufactures televisions in batches of 25 and there is a 1% rate of defects. Find the standard deviation for the number of defects per batch.

Answer 1

Let X = number of defects per batch

Then X is Binomial (n=25, p=0.01)

Since X is Binomial, the Variance of X = np(1-p)

Plug in the values for n and p to solve for Variance of X.

Then take the square root to calculate the SD,