cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or nr^2 or n/4. Since the area of the circle is n/4 the area of the square, the volume of the cylinder equals
A) pi/2 the volume of the prism or pi/2(2r)(h) or pi*r*h
B) pi/2 the volume of the prism or pi/2 (4r^2)(h) or 2*pi*r*h.
C) pi/4 the volume of the prism or pi/4(2r)(h) or pi/4*r^2*h.
D) pi/4 the volume of the prism or pi/4(4r^2)(h) or pi*r^2*h

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?