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Mathematics, 17.02.2021 01:50 Esteffyy

a ski gondola is Vail, CO, carries skies to the top of a mountain. It bears a plaque stating that the maximum capacity is 12 people or 2004 lb. That capacity will be exceeded if 12 people have a weights with a mean greater than 2004/12= 167lbs. Because men tend to weigh more than women, a "worse case" scenerio involves 12 passengers who are all men. Men have weight more that normally distributed with a mean of 172 lb and a standard deviation of 29lbs. Find the probability that if an induvidual man is randomly selected, his weight will be greater than 167lbs.

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