7. A company's yearly profit during its first 5 years of operation can be modeled by the equation P = 225(1.13)* + 400, where x is the number of years since the company started and P is the
profit in dollars. Draw a graph to represent this situation. If this pattern continues, what would
the company's profit be in year 7?

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?