Question 1 -A corner store offers three sizes of colasmall, medium, and large. The colas are sold for $0.70, $1, and $1.30, respectively. Twenty percent of the orders are for small, 55 percent are for medium, and 25 percent are for the large sizes. Organize the size of the colas and the probability of a sale into a probability distribution. (a) Is this a discrete probability distribution? Indicate why or why not. (b) Compute the mean amount charged for a cola. (c) What is the standard deviation of the amount charged for a cola?

Question 2 -Hospital records show that of patients suffering from a certain disease, 70% recover from it. Suppose we select a random sample of six patients. (a) Does this situation fit the assumptions of the binomial distribution? (b) What is the probability that 6 will recover? (c) Use the binomial probability distribution formula to determine the exact probability that four of the six sampled patients will recover?