The mean of the number of defects in each lot is 11.1 , the standard deviation is 3.28 .
In the question,
it is given that ,
the number of circuit boards manufactured is (n) = 370 ,
the percent of defective boards (p) is = 3% = 0.03 .
So , the mean of the defects can be calculated using the formula ,
we get ,
mean = n×p = 370 × 0.03 = 11.1 and
standard deviation is = √np(1-p) = √370*0.03*(1-0.03)
= √370*0.03*0.97
= √370*0.03*0.97
= √10.767
= 3.28
Therefore , the mean is 11.1 and standard deviation is 3.28 .
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