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Use the probability distribution to complete parts​ (a) and​ (b) below. The number of defects per...

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 0.265 0.294 0.243 0.140 0.046 0.012 ​(a) Find the​ mean, variance, and standard deviation of the probability distribution. The mean is ?. ​(Round to one decimal place as​ needed.)

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Answer #1

Given probability distribution,

a )

Mean = 1.444 1.4 ( Rounded to one decimal place )

Let's find variance ,

Variance = 1.476864   1.5

Standard Deviation :

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