Multi-Part Questions: A study of elite distance runners found a mean body weight of 63.1 kilograms (kg), with a standard deviation of 4.8 kg.

(a) Assuming that the distribution of weights is approximately Normal, make a sketch of the weight distribution (like the one below) with the horizontal axis marked in kilograms.

(b) Use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kg.

(c) What proportion of runners have body weights below 60 kg? Bonus: Calculate and interpret the 45th percentile of the runners' body weight distribution.