My son Henry was born on April 19^th, 2006, relatively long and lean. He was 21.5 inches long weighing 7 pounds six ounces or (118 ounces). The average length of a baby boy in the US is 19.8 inches with a standard deviation of 1.9 inches. The average weight of a baby boy is 122 ounces with a SD of 22 ounces. Height and weight are normally distributed.

a). Please find Henry's height percentile at birth. (10 points)

b). At his one month doctor's appointment, he measured 21 inches long. How could he have shrunk? Provide a plausible explanation. (5 points)

c). Find the exact weight of a US baby boy that corresponds to the 84^th percentile. (10 points)