The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons." What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) Probability

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The weight of people in a small town in Missouri is known to be normally distributed with
deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons."
What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to
reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.)
mean of 176 pounds and a standard
Probability
Transcribed Image Text:The weight of people in a small town in Missouri is known to be normally distributed with deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons." What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) mean of 176 pounds and a standard Probability
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