# Question: The weight of people in a small town in Missouri

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 180 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, "Maximum capacity 3,200 pounds or 16 persons."What is the probability that a random sample of 16 persons will exceed the weight limit of 3,200 pounds?

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