(Answered) A ski gondola carries skiers to the top of a mountain it

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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 14 people or 2324 lb. That capacity will be exceeded if 14 people have weights with a mean greater than 2324 lb/14 = 166 lb. Assume that weights of passengers are normally distributed with a mean of 182.9 lb and a standard deviation of 42.5 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 166 lb __ (Round to four decimal places as needed.)

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