SHOW YOUR WORK. f(x) = 5x2 - 4x + 1
g(x) = 3x - 2
h(x) = x + 1
k(x) = 4x
1) f(5) =
2) (g+h)(x) =
3) f(1) - h(1) =

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?