please solve these I found difficulties in it

probability distributions. Draw a graph for each of these probability distributions. a. A = .6 b. A = 1.8 APPLICATIONS 5.85 A household receives an average of 1.7 pieces of junk mail per day. Find the probability that this household will receive exactly 3 pieces of junk mail on a certain day. Use the Poisson probability distri- bution formula. 5.86 A commuter airline receives an average of 9.7 complaints per day from its passengers. Using the Poisson formula, find the probability that on a certain day this airline will receive exactly 6 complaints. 5.87 On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the probability that exactly 3 such incidents will occur during a given week at this store. 5.88 On average, 12.5 rooms stay vacant per day at a large hotel in a city. Find the probability that on a given day exactly 3 rooms will be vacant. Use the Poisson formula. 5.89 A university police department receives an average of 3.7 reports per week of lost student ID cards. a. Find the probability that at most 1 such report will be received during a given week by this po- lice department. Use the Poisson probability distribution formula. b. Using the Poisson probabilities table, find the probability that during a given week the number of such reports received by this police department is i. 1 to 4 ii. at least 6 iii. at most 3 5.90 A large proportion of small businesses in the United States fail during the first few years of opera- tion. On average, 1.6 businesses file for bankruptcy per day in a particular large city. a. Using the Poisson formula, find the probability that exactly 3 businesses will file for bankruptcy on a given day in this city. b. Using the Poisson probabilities table, find the probability that the number of businesses that will file for bankruptcy on a given day in this city is i. 2 to 3 ii. more than 3 iii. less than 3 5.91 Despite all efforts by the quality control department, the fabric made at Benton Corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of .5 defects per 500 yards. a. Using the Poisson formula, find the probability that a given piece of 500 yards of this fabric will contain exactly 1 defect. b. Using the Poisson probabilities table, find the probability that the number of defects in a given 500-yard piece of this fabric will be i. 2 to 4 ii. more than 3 iii. less than 2 5.92 The number of students who login to a randomly selected computer in a college computer lab follows a Poisson probability distribution with a mean of 19 students per day. a. Using the Poisson probability distribution formula, determine the probability that exactly 12 stu- dents will login to a randomly selected computer at this lab on a given day. b. Using the Poisson probability distribution table, determine the probability that the number of stu- dents who will login to a randomly selected computer at this lab on a given day is i. from 13 to 16 ii. fewer than 8 5.93 An average of 4.8 customers come to Columbia Savings and Loan every half hour. a. Find the probability that exactly 2 customers will come to this savings and loan during a given hour. b. Find the probability that during a given hour, the number of customers who will come to this savings and loan is i. 2 or fewer ii. 10 or more 5.94 Although Borok's Electronics Company has no openings, it still receives an average of 3.2 unso- licited applications per week from people seeking jobs. a. Using the Poisson formula, find the probability that this company will receive no applications next week