2. (3 marks) A 1987 study1 found that the distribution of weights for the population of males in the United States was approximately normally distributed with mean u = 172.2 pounds and standard deviation 6 = 29.8 pounds. a. Create a rough sketch of this Normal distribution, by hand. It doesn't have to look perfect! However, make sure that the general shape is correct, and that you have labelled the mean and the standard deviation somewhere in your figure. 1 National Center for Health Statistics, Najjar, M. F., & Rowland, M. (1987). Anthropometric reference data and prevalence of oveniveight: United States, 1976-80. Vital and Health Statistics, 11(238). 2 Assignment 5, STAT 100 0100 Summer 2022, SFU b. Approximate the probability that a randomly selected man (in 1987) weighs less than 142.4 pounds. c. Approximately how much would a man have to weigh (in 1987) in order to be in the 97.5th percentile of male weights? (Note: A man is said to be \"in the 97.51\"\" percentile\" if 97.5% of individuals weighs less than him.)