(01.03 MC) Ken normally leaves work at 5:00 pm, but he is l…

(01.03 MC) Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road instead of side streets. He can travel three times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm he arrives home from work if he leaves late. Let x represent the number of minutes his normal commute takes when he leaves on time.

A student at a college administers a survey to estimate the…

A student at a college administers a survey to estimate the average number of miles driven weekly among on-campus students at USF. The student randomly selects 4 of the 10 dorms on campus and then randomly selects students who live in those 4 dorms to take the survey. What type of sampling has occurred?

4 students apply to a PhD program.  The program rejects 45%…

4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)   What is the mean of the random variable?  (round your answer to 4 decimal places)