# Question

A shipment of 80 burglar alarms contains 4 that are defective. If 3 from the shipment are randomly selected and shipped to a customer, find the probability that the customer will get exactly one bad unit using

(a) The formula of the hypergeometric distribution;

(b) The binomial distribution as an approximation.

(a) The formula of the hypergeometric distribution;

(b) The binomial distribution as an approximation.

## Answer to relevant Questions

Among the 300 employees of a company, 240 are union members, whereas the others are not. If 6 of the employees are chosen by lot to serve on a committee that administers the pension fund, find the probability that 4 of the 6 ...Records show that the probability is 0.0012 that a person will get food poisoning spending a day at a certain state fair. Use the Poisson approximation to the binomial distribution to find the probability that among 1,000 ...(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 ...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 Find the probabilities that the value of a random variable will exceed 4 if it has a gamma distribution with (a) α = 2 and β = 3; (b) α = 3 and β = 4.Post your question

0