The bar graph below displays students' responses to the question "What caffeinated drinks do you
consume?"

Would it be appropriate to display the data with a pie
chart?

Yes, because the data are grouped into categories.

Yes, because the data can be represented by a
relative frequency compared to the whole.

No, because the data add up to more than 100%.

No, because the data categories are too broad.

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?