The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution: x 4 5 6 7 P(X=x) 0.1 0.4 0.3 0.2
(a) Find the mean and variance of X.
(b) Find the probability that the number of cherries in a cherry puff will be no more than 5
(c) Find the probability that the average number of cherries in 36 cherry puffs will be no more than 5
(d) Find the probability that the average number of cherries in 36 cherry puffs will be greater than 5.5
