Afood store makes a 11–pound mixture of peanuts, almonds, and raisins. the cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. the mixture calls for twice as many peanuts as almonds. the total cost of the mixture is $21.00. how much of each ingredient did the store use?
a. 3lbs peanuts, 6 lbs almonds, 2 lbs raisins
b. 8 lbs peanuts, 1 lb almonds, 2 lbs raisins
c. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins
d. 8 lbs peanuts, 2 lbs almonds, 1 lbs raisins

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?