In: Statistics and Probability
A supplier provides products in lots of size 10,000. A single-sampling plan with ? = 100 and ? = 3 is used for receiving inspection. Please find the lot quality that will be rejected 88% of the time.
Answer:
Given that:
A supplier provides products in lots of size 10,000. A single-sampling plan with ? = 100 and ? = 3 is used for receiving inspection

We want to find the lot quality that will be rejected 88% of the time
Here single sampling plan is used
Probability of accepting a lot of quality p
Probability of rejecting a lot of quality p
1-Probability of rejecting a lot of quality p


of single sampling plan is 


By using inverese probability of poisson distribution we get

Let's check if we put p = 0.06385 then we get 
 or not



Hence 
The lot quality 
 that will reject 88% of the time