Assume the distribution of heights among all 15 year old boys is normally distributed with mean 67 and standard deviation 3.19. Imagine a basketball team comprised of thirteen 15 year old boys, the average height of this team is 69.5 inches.
a) Calculate the z-score for the average height of this team.
b) What is the porbability of a randomly selected team whose average height will be higher than 69.5 inches?