#11

11. (6 points) SHOW ALL YOUR WORK!!! In human engineering and product design, it is important to consider the weights of the people so that airplanes or elevators aren't overloaded. based on data from the National health Survey, the weight for adult males in the United States follows a normal distribution with a mean weight of 182 pounds and a standard deviation of 32 pounds. a. If one U.S. adult male is randomly selected, what is the probability that his weight will be less than 187 pounds? b. If 40 different U.S. adult males are randomly selected, what is the probability that their sample mean weight will be greater than 190 pounds. c.If 65 different U.S. adult males are randomly selected, what is the probability that their sample mean weight will be between 160 and 183 pounds