In a test, for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a square, or a cross. as the experimenter looks at each of 10 cards in turn, the subject names the shape on each card. the experimenter then reveals the hidden card. if a subject simply guesses the shape on each card, what, is the probability of a successful guess on a single card? suppose the experimenter is drawing cards from a deck of only 10 cards, with exactly 2 cards with each shape. the subject also knows the makeup of the deck. why is the binomial distribution not a good model for this study? now suppose that the cards are drawn from a very large, fully shuffled deck of cards, so the trials may now be assumed to be independent. a binomial distribution with 10 trials is a good model for this distribution. what is the chance that the subject (who is guessing) guesses at least 5 shapes correctly? in many repetitions of this study, for a subject who is guessing, how many cards will he guess correctly on the average? what is the standard deviation of the number of correct guesses?