The better baby buggy co. has just come out with a new model, the turbo. the market research department predicts that the demand equation for turbos is given by q = −4p + 616, where q is the number of buggies the company can sell in a month if the price is $p per buggy. at what price should it sell the buggies to get the largest revenue? p = $ what is the largest monthly revenue? $

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?