Edmond is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 300-meter warmup and then swim laps in a lane that is 15 meters long. If Edmond swims at the indoor pool at his gym, he will complete a 100-meter warmup, plus a main set that consists of 25 meters per lap. If Edmond swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take?

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?