You arrive at CS109 Office Hours to find that 5 CS109 CAs—Yonatan, Will, Kathleen, Jacob, and Naomi—are all present, and each is working with some fellow CS109 student of yours. You notice there are nine other students in front of you in the queue and no one is behind you. It looks like you'll be the last of 10 students to be helped. We'll assume the time each CA spends with a student can be modeled as an Exponential random variable such that, on average, each CA finishes helping precisely 6 students every hour. As a CA finishes helping a student, they immediately start helping the next student in line and remove them from the queue. Question: How much time, in minutes, do you expect to be at office hours before you can go home? Your answer should be an integer.

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.  Because Polly is registering early, she has 13 choices for her section of Statistics, 15 choices for her section of Composition, and 20 choices for her section of Ethics.  From how many possible schedules can Polly choose?

The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate.  You collect a random sample of 45 specimens (1 cc each)  which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal?  b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…

I already have a,b,c and d. I just need help on E, F, G, and H