August 2011
Intermediate to advanced
634 pages
21h 57m
English
Content preview from A First Course in Quality Engineering, 2nd Edition
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Statistics for Quality 99
Thus, the mean of a binomial random variable with parameters n and p
equals np, and the variance is np(1 − p)� The standard deviation of the bino-
mial variable is
np p1−
( )
.
Example 2.27
If samples of 12 bolts are drawn repeatedly from a production line having 2%
defectives, what will be the average number of defectives in the samples? What
will be the standard deviation of the number of defectives in the samples?
Solution
X Bi
np p
X
X
∼ 12 0 02
12 0 02 0 24
1 12 0 02 0 98 0 485
, .
. .
. . .
(
)
= × =
= −
( )
= × × =
µ
σ
This means that if samples of 12 are repeatedly taken from the 2% lot, the
number of defectives per sa ...
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