The weight of people in a small town in Missouri is known to be normally distributed with a mean of 199 pounds and a standard deviation of 31 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,434 pounds or 17 persons." What is the probability that a random sample of 17 persons will exceed the weight limit of 3,434 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) Probability 0.34

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The weight of people in a small town in Missouri is known to be normally distributed with a mean of 199 pounds and a standard
deviation of 31 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,434 pounds or 17 persons."
What is the probability that a random sample of 17 persons will exceed the weight limit of 3,434 pounds? (You may find it useful to
reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.)
Probability
0.34
Transcribed Image Text:The weight of people in a small town in Missouri is known to be normally distributed with a mean of 199 pounds and a standard deviation of 31 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,434 pounds or 17 persons." What is the probability that a random sample of 17 persons will exceed the weight limit of 3,434 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) Probability 0.34
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