The average score for games played in the NFL is 20.5 and the standard deviation is 8.9 points. 47 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of a? X - N( b. What is the distribution of ac? a - N c. P(a > 18.5527) = d. Find the 75th percentile for the mean score for this sample size. e. P(18.7527 > > 923.6769) = h. For part c) and e), is the assumption of normal necessary? No Yes Hint