Colin is making soap for gifts. the table shows the cost of the scented oils needed to make each kind of soap. he needs 1.5 ounces of scented oil to make a batch of soap. if he wants to make 2 batches of lavender soap and 2 batches of vanilla soap, how much money will he need for the oils?

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?