Respuesta :
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01
[tex]p = 0.01[/tex]
Then the number defective parts follows a binomial distribution .
Formula for variance =
[tex]\sigma^2 = np(1-p) = 20000(0.01)(1-0.01) = 198[/tex]
Thus, 198 is the variance for the number of defective parts made each week.
