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 bearing a plaque stating that the maximum capacity was 12 people or 2, 004 lbs. That capacity would have been exceeded if 12 people had weights with 2,004 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 a mean weight greater than weight greater than 167 lbs. (so that their total weight would have been greater than the gondola max- imum capacity of 2, 004 lbs.)._ b) After the above-ment1oned accident, the weight constraints were revised so that the new capacity of the ski gondola became 10 people. If the ski gondola is lled with 10 adults, nd the probabil- ity that their mean weight is greater than 200.4 lbs. (so that their total weight is greater than the gondola maximum capacity of 2, 004 lbs). _ c) Does the ski gondola appear to be safe after the revision of its capacity? Why or why not? (You have to base you?" answer on the probability found in part (M). ' I ' i I x