1. An accident occurred when a cable holding a ski gondola carrying skiers to the top of a mountain in Vail, Colorado, snapped. The ski gondola was hearing a plaque stating that the maximum capacity was 12 people or 2,004I lbs. That capacity would have been exceeded if 12 people had weights with 2, 004 a mean weight greater than 12 = 167 lbs. A worst-case scenario would involve the ski gondola lled with 12 adults. Assume that weights of adults in US have a mean of 172 lbs. and a standard deviation of 25.6 lbs. a) Find the probability that a group of 12 US adults riding the ski gondola would have had a mean weight greater than 167 lbs. (so that their total weight would have been greater than the gondola max- imum capacity of 2,004 lbs). =