Given the function g(x) = 4x −5, compare and contrast g(2) and g(−4). choose the statement that is true concerning these two values.

the value of g(2) is larger than the value of g(−4).
the value of g(2) is smaller than the value of g(−4).
the value of g(2) is the same as the value of g(−4).
the values of g(2) and g(−4) cannot be compared.

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?