Tutorial 7

Tutorial 7 Poisson Distribution 1. 1.In Poisson Distribution µ =0.4 a. What is the probability that x=0? b. What is the probability that x>0? 2. In a Poisson distribution µ = 4 a. What is the probability that x =2? b. What is the probability that x ≤ 2 ? c. What is the probability that x>2? 3. Ms. Bergen is loan officer at coast Bank and Trust. From her years of experience, she estimates that the probability is 0.025 that an applicant will not be able to repay his or her installment loan. Last time she 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? 4. Automobiles arrive at the Elkhart exit of Indiana Toll Road at the rate of two per minute. The distribution of arrivals approximates a Poisson Distribution. 5. It is estimated that 0.5 percent of the callers to the Customer Service department of Dell, Inc. will receive a busy signal. What is the probability of today’s 1200 callers at least 5 received a busy signal? 6. 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, Statistic Editor, report that the mean number of error per Chapter is 0.8. What is the probability that there are less than 2 errors in a particular chapter?