# Question

(a) Use a computer program to calculate the exact probability of obtaining one or more defectives in a sample of size 100 taken from a lot of 1,000 manufactured products assumed to contain six defectives.

(b) Approximate this probability using the appropriate binomial distribution.

(c) Approximate this probability using the appropriate Poisson distribution and compare the results of parts (a), (b), and (c).

(b) Approximate this probability using the appropriate binomial distribution.

(c) Approximate this probability using the appropriate Poisson distribution and compare the results of parts (a), (b), and (c).

## Answer to relevant Questions

The probabilities are 0.40, 0.50, and 0.10 that, in city driving, a certain kind of compact car will average less than 28 miles per gallon, from 28 to 32 miles per gallon, or more than 32 miles per gallon. Find the ...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 ...Sketch the OC curve for a sampling plan having a sample size of 10 and an acceptance number of 0. 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 the expression given for µ'2 in the proof of Theorem 6.5.Post your question

0