Marshall has a bag of marbles. Of the 500 marbles in the bag, 100 are green, 300 are blue, 50 are red, and 50 are purple. In the scenarios below, Marshall describes 4 different experiments. Your goal is to read these situations, and decide which (if any) do not meet the criteria for a binomial distribution. a. Marshall let X represent the number of green marbles he chooses from the bag. He picks 100 marbles without replacement. [Then X will take on values from 0 to 100] What is the probability that he selects 70 green marbles? b. Marshall let X represent the number of blue marbles he chooses from the bag. Marshall picks 49 marbles without replacement. [Then X will take on values from 0 to 49]. What is the probability that he selects at least 5 blue marbles? c. Marshall let X represent the number of green marbles he chooses from the bag. Marshall selects 75 marbles with replacement [Then X will take on values from 0 to 75]. What is the probability he chooses exactly 70 green marbles? d. Marshall let X represent the number of purple marbles he chooses from the bag, without replacement. What is the probability that he selects exactly 30 purple marbles? 3 (continued). For each situation that does not meet the criteria for a binomial experiment, explain why.