# Question

A sampling inspection program has a 0.10 probability of rejecting a lot when the true proportion of defectives is 0.01, and a 0.95 probability of rejecting the lot when the true proportion of defectives is 0.03. If 0.01 is the AQL and 0.03 is the LTPD, what are the producer’s and consumer’s risks?

## Answer to relevant Questions

The producer’s risk in a sampling program is 0.05 and the consumer’s risk is 0.10; the AQL is 0.03 and the LTPD is 0.07. (a) What is the probability of accepting a lot whose true proportion of defectives is 0.03? (b) ...Sketch the OC curve for a sampling plan having a sample size of 25 and an acceptance number of 2. Expand the moment–generating function of the gamma distribution as a binomial series, and read off the values of µ'1, µ'2, µ'3, and µ'4. If the random variable T is the time to failure of a commercial product and the values of its probability density and distribution function at time t are f(t) and F(t), then its failure rate at time t (see also Exercise 5.24 ...Show that the differential equation of Exercise 6.30 with b = c = 0 and σ > 0 yields a normal distribution. In exercisePost your question

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