# Question: If the AQL is 0 1 and the LTPD is 0 25

If the AQL is 0.1 and the LTPD is 0.25 in the sampling plan given in Exercise 5.92, find the producer’s and consumer’s risks.

## Answer to relevant Questions

(a) In Exercise 5.92 change the acceptance number from 1 to 0 and sketch the OC curve. (b) How do the producer’s and consumer’s risks change if the AQL is 0.05 and the LTPD is 0.3 in both sampling plans? Show that if a random variable has an exponential density with the parameter θ, the probability that it will take on a value less than – θ ∙ ln(1 – ρ) is equal to p for 0 ≥ p < 1. 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. Show that the differential equation of Exercise 6.30 with b = c = 0 and σ > 0 yields a normal distribution. In exercise Show that when α → ∞ and β remains constant, the moment-generating function of a standardized gamma random variable approaches the moment-generating function of the standard normal distribution.Post your question