1. (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 0 = 29.8 pounds. a. What proportion of men (in 1987) weighed more than 153.1 pounds? b. If we were to randomly sample a man from this population, what is the probability he would weigh between 162.2 and 222.0 pounds? c. Approximately how much would a man have to weigh (in 1987) in order to be in the 85th percentile of male weights