If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph? A. g(x) = 9f( x)
B. g(x) = 9 - f(x)
C. (x) = f(x) + 9
D. g(x) = f(x) - 9

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?