Scott wants to make orange juice. He is going to buy boxes of oranges.
There are 24 oranges in each box of oranges.
30 oranges make 2 litres of orange juice.
Scott needs to buy enough oranges to make 8 litres of orange juice.
(a) Work out the number of boxes of oranges that Scott needs to buy.
You must show all your working.

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?