The manufacturer of the ColorSmart-5000 television set claims that 95 percent of its sets last at least
Question:
The manufacturer of the ColorSmart-5000 television set claims that 95 percent of its sets last at least five years without requiring a single repair. Suppose that we will contact n=8 randomly selected ColorSmart-5000 purchasers five years after they purchased their sets. Each purchaser's set will have needed no repairs (a success) or will have been repaired at least once (a failure). We will assume that p, the true probability that a purchaser's television set will require no repairs within five years, is .95, as claimed by the manufacturer. Furthermore, it is reasonable to believe that the repair records of the purchasers' sets are independent of each other. Let x denote the number of the n=8 randomly selected sets that will have lasted at least five years without a single repair.
1. Which values of x are applicable?
2. Prepare the Binomial Distribution for values in question 1.
3. Identify the probability that 5 out of 8 randomly selected television sets would last at
least five years without a single repair.
Business Statistics in Practice
ISBN: 978-0077404741
6th edition
Authors: Bruce Bowerman, Richard O'Connell