Rosa is building a guitar. The second fret is 33.641\,\text{mm}33.641mm33, point, 641, start text, m, m, end text from the first fret. The third fret is 31.749\,\text{mm}31.749mm31, point, 749, start text, m, m, end text from the second fret. How far is the third fret from the first fret?

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?