Rich buys a car for $24,000 and has two options for financing. The dealership offers either financing of 0% compounded monthly for 5-years, or a $5,000 cash rebate. If Rich takes the rebate, then he will apply the rebate to the cost of the car and finance the remaining balance with a loan for 5-years at 3.25% compounded monthly through the Tiger's Credit Union.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?