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A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 11 people or 1771

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A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 11 people or 1771 lb. That capacity will be exceeded if 11 1771 lb people have weights with a mean greater than 11 = 161 lb. Assume that weights of passengers are normally distributed with a mean of 178.7 lb and a standard deviation of 40.6 lb. Complete parts a through c below. a. Find the probability that if an individual passenger is randomly selected, their weight will be greater than 161 lb. (Round to four decimal places as needed.)

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