The Japan Sumo Association has begun to measure the body fat ofwrestlers to try to combat the growing problem of excessive obesitywithin the sport. As of 2010, the average wrestler weighed 412pounds. Suppose the weights of sumo wrestlers are normallydistributed, with a standard deviation of 37 pounds.

a). What is the probability that a randomly selected wrestlerweighs between 350 and 450 pounds?

b). The top 8% of the heaviest wrestlers weigh how much?