13. In a curling match, to determine who wins the hammer, there is a draw to the button where each team tries to put it as close to the center as possible. At the Scotties Tournament of Hearts, 60% of all draws to the button were won by throwing the rock within 3 feet. There were 80 total games played. a. Is it possible to approximate the binomial distribution using a normal approximation? (2 Marks) b. What is the mean and standard deviation for this approximation? (2 Marks) c. What is the probability that exactly 55 games were won with a draw to the button within 3 feet using the normal approximation? (4 Marks) d. What is the probability that exactly 55 games were won with a draw to the button within 3 feet using the binomial method? (4 Marks)