The weight of people in a small town in missouri is known to be normally distributed with a mean of 154 pounds and a standard deviation of 29 pounds. on a raft that takes people across the river, a sign states, "maximum capacity 3,460 pounds or 20 persons." what is the probability that a random sample of 20 persons will exceed the weight limit of 3,460 pounds? use table 1. (round "z" value to 2 decimal places, and final answer to 4 decimal places.)