statistics

31. In a Poisson distribution is - 0.4. a. What is the probability that x = 07 b. What is the probability that x > 0? 32. In a Poisson distribution is a 4. a. What is the probability that x - 2? b. What is the probability that x $ 27 c. What is the probability that x > 2? 33. Ms. Bergen is a loan officer at Coast Bank and Trust. Based on her years of experience, she estimates that the probability is .025 that an applicant will not be able to repay his or her installment loan. Last month sha made 40 loans. a. What is the probability that 3 loans will be defaulted? b. What is the probability that at least 3 loans will be defaulted? 34. Automoblas arrive at the Elkhart exit of the Indiana Toll Road at the rate of two per minute. The distribution of arrivals approximates a Poisson distribution, a. What is the probability that no automobiles arrive in a particular minute? b. What is the probability that at least one automobile arrives during a particular minute? 35. It is estimated that 0.5 percent of the callers to the billing department of the U.S. West Telephone Company will receive a busy signal. What is the probability that of today's 1,200 callers at least 5 received a busy signal? 36. Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the mean number of errors per chapter is 0.8. What is the probability that there are less than 2 errors in a particular chapter