# What is the probability that a random sample will exceed the weight limit

**Question description**

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 188 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,600 pounds or 18 persons.” What is the probability that a random sample of 18 persons will exceed the weight limit of 3,600 pounds? Use Table 1. (Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

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