8. (6pts) You are playing a game at a casino and you are betting on the number \"4\". The following is a probability distribution for your profit for one roll of the dice when betting on H4\". 25.00 c. Calculate the expected profit for your bet. (Give 4 dec. places) a. Considering this is a valid probability distribution, fill in the missing probability value in the table. b. How much money are you betting on the number "4\"? d. if a wealthy person decides to place this "4\" bet 20 times, what is their expected profit? e. Explain why betting on "4\" in this game is NOT a "fair game." \"3 . (3pts) For the following situation, explain why it is NOTappropriate to use a binomial distribution for the variable X. Be specific. An experiment is conducted where S M&M's are drawn at random, without replacement, from a bag that contains 16 red and 37 green M&M's. Let X represent the number of red M&M's selected