Exercise 1: On Monday mornings, a CIBC branch has only one teller window open for deposits and withdrawals. Experience has shown that the average number of arriving customers in a 4-minute interval on Monday mornings is 2.8, and each teller can serve more than that number efficiently. The random arrivals at this bank on Monday mornings are Poisson distributed. 1.) What is the probability that on a Monday morning no one will arrive at the bank to make a deposit or withdrawal during a 4-minute interval? 2.) Suppose the teller can serve no more than four customers in any 4-minute interval at this window on a Monday morning. (a) What is the probability that, during any given 4-minute interval, the teller will be unable to meet the demand? (b) When demand cannot be met during any given interval, a second window is opened. What percentage of the time will a second window have to be opened? 3. What is the probability that at least five people will arrive at the bank during a 8-minute period on Monday mornings to make a deposit or a withdrawal?

Exercise 2: Suppose a survey reveals that 69% of Canadian workers say job stress causes frequent health problems. One in four said they expected to burn out on the job in the near future. Thirty-two percent said they thought seriously about quitting their job last year because of workplace stress. Forty-nine percent said they were required to work more than 40 hours a week very often or somewhat often. 1.) Suppose a random sample of 10 Canadian workers is selected. What is the probability that more than seven of them say job stress caused frequent health problems? What is the expected number of workers who say job stress caused frequent health problems? 1Improve Life 2.) Suppose a random sample of 15 Canadian workers is selected. What is the expected number of these sampled workers who say they will burn out in the near future? What is the probability that none of the workers say they will burn out in the near future? 3.) Suppose a sample of seven workers is selected randomly. What is the probability that all seven say they are asked very often or somewhat often to work more than 40 hours a week? If this outcome actually happened, what might you conclude?

Exercise 3: After receiving a large shipment of computer chips, Best Buy randomly selects 400 chips. If 3 or fewer defective chips are found, the entire lot is accepted with- out inspecting the remaining chips in the lot. If 4 or more chips are defective, every chip in the entire lot is carefully inspected at the supplier's expense. Assume that the true proportion of nonconforming computer chips being supplied is 0.008. Use the Poisson distribution to approximate the probability the lot will be accepted.

Exercise 4: Suppose the time required by a Canadian dealer to replace a car's windshield is uniformly distributed from 200 to 240 in minutes. 1. )What is the probability that it will take at most 230 minutes to replace a windshield? 2.)What is the probability that it will take at most 235 minutes to replace a windshield given that it hasn't been finished after 225 minutes?

Also could you please write it out on paper so I can see how you did it step by step so that I can learn how to do it, thank you!