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The number of defects per 1000

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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
0
1
2
3
4
5
 
Probability
0.258
0.297
0.231
0.152
0.043
0.19
a) Find the​ mean, variance, and standard deviation of the probability distribution.
 
The mean is

nothing.
​(Round to one decimal place as​ needed.)
The variance is

nothing.
​(Round to one decimal place as​ needed.)
The standard deviation is

nothing.
​(Round to one decimal place as​ needed.)
​(b) Interpret the results.
 
The mean is

nothing​,

so the average batch of 1000 machine parts has

▼

 

at least 2 defects.
no defects.
1 or 2 defects.

The standard deviation is

nothing​,

so the typical number of defects in a batch of 1000

▼

 

does not deviate from the mean.
deviates from the mean by more than 2 defects.
deviates from the mean by about 1 defect.
deviates from the mean by about 2 defects.
​(Round to one decimal place as​ needed.)
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