Two tailors, Miranda and Paula, sit down to do some embroidery. Miranda can embroider 5
shirts per hour, and Paula can get through 6 shirts per hour. In addition, the tailors had
previously finished some shirts. Miranda has already completed 14 shirts, and Paula has
completed 6 shirts. Miranda and Paula decide to take a break when they have finished the
same total number of shirts. How many shirts, in total, will each tailor have finished? How
long will that take?

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?