Mr. Kelly runs a basketball camp for middle school students. Mr. Kelly buys each student who attends the camp a t-shirt for participating. The t-shirts cost $5 each. There is a proportional relationship between the number of students who attend Mr. Kelly’s basketball camp, x, and the total cost of the t-shirts, y.

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?