The alternative minimum tax was created in 1969 to prevent the very wealthy from using creative deduction and shelters to avoid having to pay anything to the internal revenue service. but it has increasingly hit the middle class. the number of taxpayers subjected to an alternative minimum tax is projected to be n(t) = 35.5/1+6.89e^-0.86741 (0 lessthanorequalto t lessthanorequalto 12) where n(t) is measured in millions and t is measured in years, with t = 0 corresponding to 2004. what was the projected number of taxpayers subjected to an alternative minimum tax in 2010?

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?