For an adult male the average weight is 179 pounds and thestandard deviation is 29.4 pounds. We can assume that thedistribution is Normal (Gaussian). Answer the following questionseither via simulations (use 10000 points) or via “rule of thumbs”.I). What is the approximate probability that a randomly pickedadult male will weigh more than 180 pounds? Pick the closestanswer. (6.66 points) a. About 15% b. About 30% c. About 50% d.About 65% II) What would be the range [A to B], which would containabout 68% of the adult males? Pick the closest answer. (6.66points) a. Between 149.6 and 208.4 pounds b. Between 155.5 and211.4 pounds c. Between 120.2 and 237.8 pounds d. Between 130.1 and233.2 pounds III) A random adult male is chosen, which of theseoutcomes is the least likely? (6.66 points) a. The person willweigh more than 210 pounds b. The person will weigh more than 225pounds c. The person will weigh less than 150 d. The person willweigh between 170 and 200 pounds
