Question 12 6 pts This is a challenging question! A high-end furniture store finds that customers walk into the store at an average rate of about 33.3 customers per hour. The arrival rate of customers per hour appears to follow a discrete Poisson distribution. In trying to determine staffing needs. they want to know the 95% confidence interval around the expected arrival rate. Unfortunately, there is no "inverse poisson" function in excel, so you are going to have to wing it using only the POISSON.DISTO) formula to find the approximate 95% confidence interval. Using only whole integers numbers [0.1.2...etc]. and based on the Poisson distribution. what are the upper and lower bounds that put roughly 2.5% in each tail. Enter only integers (no decimal places). The 95% confidence interval is roughly greater than or equal to and less than or equal to5 pts Nell is a truck driver. She has two routes for her delivery from the production facility to the distribution center (Route A or Route B). Traffic between the two points is terrible so she would like to compare the two routes. After collecting data from her GPS history she learns that, on a typical delivery, the travel times across these routes can be well approximated as normal distributions with the following properties: Route A: MA -54 minutes, GA= 6 minutes Route B: #B =60 minutes, Gg = 3 minutes Which route should she choose if the truck must be at the distribution center within 54 minutes to make the delivery target? She should choose route B because the probability that she makes it on time is higher O She should choose route A because the probability that she makes it on time is higher O She should choose route A because it has a lower average travel time. End of story. O She should choose route B becuse the lower standard deviation makes an on time arrival safer