A 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 for pi/4
Since the area of the circle is
volume of the cylinder equals
the area of the square, the
Cross section
the volume of the prism or (21)(h) or arh.
the volume of the prism or L (42)(h) or 2nrh.
the volume of the prism or (2)(h) or Iph.
the volume of the prism or (472)(h) or arh.
27
each

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?