1. Apply the Binomial Theorem to expand and simplify (2x+3y)3. (K) 2. Bob is in a candy store that has a bin of 50 candies, 30 are sweet, 15 are sour, and 5 are salty. His mom says that he can choose any 2 candies to eat. (A/T) (a) Create a probability distribution table for the number of sour candies chosen. (b) Is the probability distribution binomial or hypergeometric? How do you know? (c) Calculate the expected value and interpret its meaning. 3. A mail-in survey is sent to 60 homes. Based on the results of past surveys, the probability of a survey being returned is 15%. (A/T) (a) Calculate the probability that 8 homes will return the survey