The average height of 5 year old boys is normally distributed with a mean of 109.2cm and a standard deviation of 3.5cm. a. Draw and label the distribution described above. (3pts) b. What percent of 5 year old boys have a height less than 112.7cm? (4pts) c. Find the 68% range 95% and 99.7% intervals, according to the empirical rule.(3 pts)Major League Baseball stadiums. Five of the teams don't allow proposals. 39 50 50 50 55 55 75 85 100 115 175 175 200 209 250 250 350 400 450 500 500 500 500 1500 2500 a. Find the mean, median and mode. (5pts) b. Use the mean, median and mode to describe the shape of the distribution. (2pts) c. Find the standard deviation and variance. (5pts) d. Find the percentile for $500, that is find k such that . (3pts)