The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5   Probability 0.255 0.294 0.235 0.158 0.042 0.016       ​(a) Find the​ mean, variance, and standard deviation of the probability distribution.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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
0.255
0.294
0.235
0.158
0.042
0.016
 
 
 
​(a) Find the​ mean, variance, and standard deviation of the probability distribution.
 
The mean is
1.51.5.
​(Round to one decimal place as​ needed.)
The variance is
1.51.5.
​(Round to one decimal place as​ needed.)
The standard deviation is
enter your response here.
​(Round to one decimal place as​ needed.)
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