Three football players from the Mustang junior football team each spent 20 minutes loading boxes of food onto a truck for a local charity. The number of boxes, b, that each player loaded onto the truck is proportional to the number of minutes, m, spent loading boxes.

Alonzo loaded 14 boxes.
Bennett loaded one fourth as many boxes as Cory.
Cory loaded twice as many boxes as Alonzo.

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?