# Question

A tire manufacturer has advertised that only 2% of its tires have surface blemishes. Further, the manufacturer argues that tires with such blemishes are perfectly safe, and with only the physical appearance suffering very slightly. A consumer magazine randomly purchases 40 of the tires for an upcoming tire performance comparison report. Upon examining the tires, the magazine’s test engineers find that 5 of them have surface blemishes. If it were true that just 2% of the tires produced have surface blemishes, what would be the probability of getting 5 or more with such blemishes in a random sample of 40 tires? Considering this probability, comment on the believability of the tire manufacturer’s advertising claim.

## Answer to relevant Questions

Ed Tompkins, the assistant dean of a business school, has applied for the position of dean of the school of business at a much larger university. The salary at the new university has been advertised as $200,000, and Ed is ...A consultant has presented his client with three alternative research studies that could be conducted. If the client chooses alternative a, the consultant will have to hire 1 additional employee. Two new employees will have ...Twelve trials are conducted in a Bernoulli process in which the probability of success in a given trial is 0.3. If x = the number of successes, determine the following: a. E(x) b. σx c. P(x = 3) d. P(2 ≤ x ≤ 8) e. P(x > ...The U.S. Department of Labor has reported that 30% of the 2.1 million mathematical and computer scientists in the United States are women. If 3 individuals are randomly selected from this occupational group, and x = the ...Using the hypergeometric distribution, with N = 4, n = 2, and s = 3, determine the following: a. P(x = 0) b. P(x = 1) c. P(x = 2)Post your question

0