Problem-3 Twenty-three percent of automobiles are not covered by insurance (CNN. February 23. EDGE}. On a particular weekend. 35 automobiles are involved in traffic accidents. a} What is the probability of 5 automobiles involved in trafc accidents but not covered by insurance? {Write Excel function) b} What is the probability of at least 10 automobiles involved in trafc accidents but not covered by insurance? [Write Excel function} c) What is the probability of at most 11 automobiles involved in traffic accidents but not covered by insurance? {Write Excel function} d} What is the expected number of these automobiles that are not covered by insurance? e} What are the variance and standard deviation? Problem-4 During the period that a local university takes the phone registrations. calls come in at the rate of one every two minutes. a} What is the expected number ofcalls in one hour? b} What is the probability of three calls in ten minutes? (Write Excel function) C} What is the probability of more than 3 calls in ten minutes? (Write Excel function) Problem-5 The National Safety Council {NSC} estimates that off-the-job accidents cost U.3. businesses almost $200 billion annually in lost productivity {National Safety Council. March 20Gb}. Based on NSC estimates, companies with 5t] employees are expected to average three employee off-the-job accidents per year. Answer the following questions for companies with 5i] employees. a} What is the probability of no off-the-job accidents during one year? b} What is the probability of at least two off-the-job accidents during one year? c) What is the expected number of off-the-job accidents during six months? d} What is the probability of no off-the-job accidents during the next six months? Problem-E Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 43 employees; the Hawaii plant has 20. A random sample of 1D employees is to be asked to fill out a benefits questionnaire. a} What is the probability that none of the employees in the sample work at the plant in Hawaii {to 4 decimals)? b} What is the probability that two or fewer of the employees in the sample work at the plant in Hawaii (to 3 decimals)? c) What is the probability that 3 or more of the employees in the sample work at the plant in Hawaii (to 3 decimals}? d} What is the probability that 3 of the employees in the sample work at the plant in Texas [to 2 decimals}