3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of cargo containing 45 boxes must be transported via the elevator. Experience has shown that the weight y of a box of this type of cargo follows a probability distribution with mean µ = 200O pounds and standard deviation o = 55 pounds. What is the probability that all 45 boxes can be loaded onto 45 the freight elevator and transported simultaneously? [Hint: Find P( yS1000 ). (Central Limit Theorem)]

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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3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of
cargo containing 45 boxes must be transported via the elevator. Experience has shown that the
weight y of a box of this type of cargo follows a probability distribution with mean µ = 200 pounds
and standard deviation o = 55 pounds. What is the probability that all 45 boxes can be loaded onto
45
the freight elevator and transported simultaneously? [Hint: Find P(
YS10,000 ). (Central Limit
Theorem)]
Transcribed Image Text:3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of cargo containing 45 boxes must be transported via the elevator. Experience has shown that the weight y of a box of this type of cargo follows a probability distribution with mean µ = 200 pounds and standard deviation o = 55 pounds. What is the probability that all 45 boxes can be loaded onto 45 the freight elevator and transported simultaneously? [Hint: Find P( YS10,000 ). (Central Limit Theorem)]
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