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	0.258	0.301	0.238	0.151	0.038	0.014

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Part 1

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

The mean is

enter your response here.

(Round to one decimal place as needed.)

Part 2

The variance is

enter your response here.

(Round to one decimal place as needed.)

Part 3

The standard deviation is

enter your response here.

(Round to one decimal place as needed.)

Part 4

(b) Interpret the results.

The mean is

enter your response here,

so the average batch of 1000 machine parts has

no defects.

at least 2 defects.

1 or 2 defects.

The standard deviation is

enter your response here,

so the typical number of defects in a batch of 1000

does not deviate from the mean.

deviates from the mean by about 2 defects.

deviates from the mean by more than 2 defects.

deviates from the mean by about 1 defect.

(Round to one decimal place as needed.)