Use the probability distribution to complete parts (a) and (b) below.

The number of defects per 1000 machine parts inspected

Defects	0	1	2	3	4	5
Probability	0.261	0.288	0.236	0.160	0.037	0.018

Question content area bottom

Part 1

(a) Find the mean, variance, and standard deviation of the probability distribution.

The mean is enter your response here. ------- round one decimal place as needed

The variance is _________ (Round to one decimal place as needed.)

The standard deviation is ------------ (Round to one decimal place as needed.)

(b)

interpret the results

The mean is -----so the average batch is 1000 machine parts has ---------defects. The standard deviation is ------so the typical number of defects in a batch of 1000 ______________

round to one decimal place as needed.