# Sampling - Total probability of accepting bad lot - Producer's risk

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#### Reginaldw

I determine my producer's risk using a traditional sampling analysis: choose sample size, max number of defects found in sample and compute the risk of accepting a lot for a given quality % by using a binomial distribution function ('BINOMDIST' function in Excel).

My question: how can I compute the maximum probability of accepting a lot that has more than x% bad products given my sampling plan (sample size + # of defects found)?

I want to be able to say: "We sample 5% of the items and reject them if we find more than 1 defect. That way, there's a maximum 8% probability that the overall lot has more than 3% defects."
(all numbers in my statement are fictive)

#### Marc

##### Fully vaccinated are you?
Staff member
Can anyone help with this?

#### Bev D

##### Heretical Statistician
Staff member
Super Moderator
Well I could and I would, but this does sound like a homework assignment...

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