1) You guess repeatedly on an exam that is made up of multiple choice questions, all of which have 5 possible answers. There are 24 problems on the exam. If needed, round your answers below to three decimals. a. To model this situation with a binomial distribution, what would you use for p? b. How many questions would you expect to get right? c. What is the variance? d. What is the probability of getting 5 questions right?

2) Suppose that the probability that the life of a battery will exceed 36 months is 0.6. You take a random sample of 246 batteries. How many of the batteries would you expect will last longer than 36 months? Round to one decimal if needed.