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Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with = 28 pounds and a 5.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 31.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 17.4 pounds.

Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with = 28 pounds and a 5.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 31.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 17.4 pounds.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with = 28 pounds and a = 5.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 31.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 17.4 pounds. (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 22.7 and 38.6. (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.
Transcribed Image Text:Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with = 28 pounds and a = 5.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 31.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 17.4 pounds. (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 22.7 and 38.6. (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.
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