# Question

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) What is the probability of accepting a lot whose true proportion of defectives is 0.07?

(a) What is the probability of accepting a lot whose true proportion of defectives is 0.03?

(b) What is the probability of accepting a lot whose true proportion of defectives is 0.07?

## Answer to relevant Questions

Use the recursion formula of Exercise 5.8 to show that for θ = 12 the binomial distribution has (a) A maximum at x = n/2 when n is even; (b) Maxima at x = n – 1 / 2 and x = n + 1 / 2 when n is odd. In exercise Sketch the OC curve for a sampling plan having a sample size of 10 and an acceptance number of 0. Use the results of Exercise 6.13 to find α3 and α4 for the gamma distribution. Verify that the integral of the beta density from – ∞ to ∞ equals 1 for (a) α = 2 and β = 4; (b) α = 3 and β = 3. In the proof of Theorem 6.6 we twice differentiated the moment– generating function of the normal distribution with respect to t to show that E(X) = µ and var(X) = σ2. Differentiating twice more and using the formula of ...Post your question

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