A manufacturer claims that at most 5 percent of the time a given product will sustain fewer than 1,000 hours of operation before requiring service. Twenty products were selected at random from the production line and tested. It was found that three of them required service before 1,000 hours of operation. Comment on the manufacturer’s claim.
Answer to relevant Questions(a) Use a computer program to calculate the probability of rolling between 14 and 18 “ sevens” in 100 rolls of a pair of dice. (b) Would it surprise you if more than 18 “sevens” were rolled? Why? When taping a television commercial, the probability is 0.30 that a certain actor will get his lines straight on any one take. What is the probability that he will get his lines straight for the first time on the sixth take? ...Find the mean and the variance of the hypergeometric distribution with n = 3, N = 16, and M = 10, using (a) The results of Exercise 5.64; (b) The formulas of Theorem 5.7. In a given city, 4 percent of all licensed drivers will be involved in at least one car accident in any given year. Use the Poisson approximation to the binomial distribution to determine the probability that among 150 ...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 ...
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