In: Statistics and Probability
Note: You need to show your work. Microsoft Word has an equation editor. Go to “Insert” and “Equation” on newer versions of Word. On older versions, go to “Insert” and “Object” and “Microsoft Equation.” If you choose instead to use Excel for your calculations, be sure to upload your well-documented Excel files so that I can check your work, but you still need to answer the questions IN THIS FILE!
Chapter 5 Part A: A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. 1. Compute the probability that 2 or fewer will withdraw. 2. Compute the probability that exactly 4 will withdraw. 3. Compute the probability that more than 3 will withdraw. 4. Compute the expected number of withdrawals.
Chapter 5 Part B: Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. 1. Compute the probability of no arrivals in a one-minute period. 2. Compute the probability that three or fewer passengers arrive in a one-minute period. 3. Compute the probability of no arrivals in a 15-second period. 4. Compute the probability of at least one arrival in a 15-second period.