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12. A cruise ship has a 74% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month. [1] a) Is it possible to approximate this binomial distribution using a normal approximation? [2] b) What is the mean and the standard deviation for this approximation? [2] c) What is the probability that exactly 20 cruise ships will have leftover rooms using the normal approximation? [2] d) How different is the normal approximation from the binomial distribution value? Calculate the probability that exactly 20 cruise ships will have leftover rooms using the binomial method. Part D: Thinking/Inquiry 13. A game of chance requires the player to throw a 6-sided die and a 12-sided die. [3] a) Create a probability histogram for this distribution