Samuel and Jason sell cans to a recycling center that pays $0.50 per pound of cans. The table shows the number of pounds of cans that they sold for several days. Day Samuel's cans(lb) Jason's cans(lb) Monday 18.6 11.4 Tuesday 12.9 11.2 Wednesday 10.8 8.7 Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost $5.40 each. How many batteries can Samuel buy?

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?