Reference no: EM13916136

Problem 1:
Consider the two histograms and sets of descriptive statistics shown. Which set of descriptive statistics are associated with which histogram?

Problem 2:
A professor is deciding how many exams to print. Historically, 7 percent of students do not show up for the test day. His class has 325 students. Determine the following:
a.) Probability that fewer than 300 students show up
b.) Probability that exactly 320 students show up.
c.) Probability that more than 15 students will be no-shows.
d.) Probability of having between 290 (inclusive) and 330 (inclusive) students show up.
e.) Probability that more than 315 students show up.

Problem 3:
Fred is in charge of providing drinks for the class via large pitchers. The daily demand is normally distributed with a mean of 5280 ouches and a standard deviation of 315 ounces. It takes 3 days to deliver a new order of beverages.
a.) What is the probability of needing more than 5280 ounces on one day?
b.) What is the probability of needing more than 15000 ounces during the 3 day lead time?
c.) How many ounces should he have in stock if he wants to have enough for the full three day lead time, 99% of the time?

Problem 4:
Susan is scheduling class rooms for next semester. Because only 85 percent of students typically show up, she is considering how many students should be allowed to sign up for the course. The room has 225 permanent seats available. She believes that any empty seat (a seat that is left empty in the class) is a wasted resource to the school at a cost of $225 per seat. However, if more than 225 students show up (that's the size of the class room), she will have to add extra chairs at the last minute. The cost of adding extra chairs (chair, labor, time, etc) is $60 per chair. How many students should Susan sign up for the class to minimize the expected cost?