Problem #5

b. On what percentage of days will the demand exceed 35, 000 gallons ? c. Find the probability that on a given day, the demand is between 25, 000 gallons and 30, 000 gallons. d. The owner of the gas station wants to make sure that there is only 1% chance of failing to meet demand. In other words, he wants to have a quantity of gas such that on 99% of the days, the demand is below that quantity. Find the 99th percentile (99% cutoff ) of this distribution. Round to the nearest whole number.ou take one out, it is yours, you do not put it back) For each part of the Problem 5: . draw the Normal distribution curve put the labels for the mean and the cutoff points or the area that the question is interested in . shade the appropriate part of the curve . if the question gives you the cutoff points(s) and asks you for the area: clearly show how you computed the z-score(s) of the cutoff point (s); if you are able to just read the area from the table, you can simply write it down; otherwise (if you need to subtract the area from 1 or subtract two areas from the table, etc.) please clearly write what you are doing . if the question gives you the area and asks for the corresponding cutoff point: clearly write what area you fetched from the table (what was the area in the table closest to the one given by the question) and what z-score corresponds to it; then clearly show how you get from that z-score to the cutoff point. Problem 5: The demand for high-grade gasoline at a service station is normally distributed with mean 27, 000 gallons per day and standard deviation 4, 500. a. On what percentage of days will the demand be less than 20, 000 gallons