Acceptance Sampling: Probability using Binomial Distribution
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Determine the probability of accepting lots that are 10 percent, 30 percent, and 40 percent defective using a sample of size 14 and an acceptance number of 3.
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The expert calculates Probability of accepting lots that are 10 percent, 30 percent, and 40 percent defective using a sample of size 14 and an acceptance number of 3, using Binomial Distribution.
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Determine the probability of accepting lots that are 10 percent, 30 percent, and 40 percent defective using a sample of size 14 and an acceptance number of 3.
We will have to use Binomial distribution.
P(r)= ncr p r * q n-r
Find the probability of 0,1,2,3 defectives and add them up (since c=3, we accept a sample if number of defectives is 3 or less than 3) when p= 10%,20%,30%,40%
When p= 10% 0r 0.1
n= 14
p= 10%
q=1-p= 0.9
P(r)= ncr p r * q n-r ...
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