On a merry-go-round, 16 horses are evenly spaced on the outside perimeter. Abe is opposite to the first horse. It takes 6 seconds for the fifth horse to reach Abe. How long will it take the merry go-round to go around once? Draw a clear diagram to answer this question.

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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?