Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 5 Probability 0.262 0.299 0.233 0.153 0.037 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The m (Roun The vi deviates from the mean by about 1 defect. (Roun does not deviate from the mean. The sl (Roun deviates from the mean by about 2 defects. (b) Int deviates from the mean by more than 2 defects. 1 or 2 defects. The standard deviation is 1.2, so the typical number of defects in a batch of The m IS 1000 (Round to one decimal place as needed.)

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Use the probability distribution to complete parts (a) and (b) below.
The number of defects per 1000 machine parts inspected
Defects
1
3
4
Probability
0.262
0.299
0.233
0.153
0.037
0.016
(a) Find the mean, variance, and standard deviation of the probability distribution.
The m
(Roun
The va
deviates from the mean by about 1 defect.
(Roun
does not deviate from the mean.
The st
(Roun
deviates from the mean by about 2 defects.
(b) Int
deviates from the mean by more than 2 defects.
is 1 or 2 defects.
The standard deviation is 1.2, so the typical number of
ects in a batch of
The m
1000
(Round to one decimal place as needed.)
Transcribed Image Text:Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 3 4 Probability 0.262 0.299 0.233 0.153 0.037 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The m (Roun The va deviates from the mean by about 1 defect. (Roun does not deviate from the mean. The st (Roun deviates from the mean by about 2 defects. (b) Int deviates from the mean by more than 2 defects. is 1 or 2 defects. The standard deviation is 1.2, so the typical number of ects in a batch of The m 1000 (Round to one decimal place as needed.)
Use the probability distribution to complete parts (a) and (b) below.
The number of defects per 1000 machine parts inspected
Defects
1
3
4
Probability
0.262
0.299
0.233
0.153
0.037
0.016
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 1.5.
(Round to one decimal place as needed.)
The variance is 1.5.
(Round to one decimal place as needed.)
The standard deviation is 1.2.
(Round to one decimal place as needed.)
(b) Interpret the results.
The mean is1.5, so the average batch of 1000 machine parts has 1 or 2 defects.
The standard deviation is 1.2, so the typical number of defects in a batch of
1000
(Round to one decimal place as needed.)
Transcribed Image Text:Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 3 4 Probability 0.262 0.299 0.233 0.153 0.037 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is 1.5. (Round to one decimal place as needed.) The standard deviation is 1.2. (Round to one decimal place as needed.) (b) Interpret the results. The mean is1.5, so the average batch of 1000 machine parts has 1 or 2 defects. The standard deviation is 1.2, so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.)
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