You've fallen into my trap!" Justin shouts, laughing like the madman he is. The mouse he captured stares back at him indifferently as it munches on a piece of cheese at the bottom of a box whose base measures 12\text{ cm}12 cm12, start text, space, c, m, end text by 12\text{ cm}12 cm12, start text, space, c, m,

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?