Pulmonary Disease Forced expiratory volume (FEV) is an index of pulmonary function that measures the volume of air expelled after 1 second of constant effort. FEV is influenced by age, sex, and cigarette smoking. Assume that in 45- to 54-year-old nonsmoking men FEV is normally distributed with mean = 4.0 L and standard deviation = 0.5 L. In comparably aged currently smoking men FEV is nor- mally distributed, with mean = 3.5 L and standard deviation = 0.6 L. 5.21 If an FEV of less than 2.5 L is regarded as showing some functional impairment (occasional breathlessness, inability to climb stairs, etc.), then what is the probability that a currently smoking man has functional impairment? 5.22 Answer Problem 5.21 for a nonsmoking man. Some people are not functionally impaired now, but their pulmonary function usually declines with age and they even- tually will be functionally impaired. Assume that the decline in FEV over n years is normally distributed, with mean = 0.03n L and standard deviation = 0.02n L. 5.23 What is the probability that a 45-year-old man with an FEV of 4.0 L will be functionally impaired by age 75?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Pulmonary Disease
Forced expiratory volume (FEV) is an index of pulmonary
function that measures the volume of air expelled after 1
second of constant effort. FEV is influenced by age, sex,
and cigarette smoking. Assume that in 45- to 54-year-old
nonsmoking men FEV is normally distributed with mean :
4.0 L and standard deviation = 0.5 L.
In comparably aged currently smoking men FEV is nor-
mally distributed, with mean = 3.5 L and standard deviation
= 0.6 L.
5.21 If an FEV of less than 2.5 L is regarded as showing
some functional impairment (occasional breathlessness,
inability to climb stairs, etc.), then what is the probability
that a currently smoking man has functional impairment?
5.22 Answer Problem 5.21 for a nonsmoking man.
Some people are not functionally impaired now, but their
pulmonary function usually declines with age and they even-
tually will be functionally impaired. Assume that the decline
in FEV over n years is normally distributed, with mean :
0.03n L and standard deviation = 0.02n L.
5.23 What is the probability that a 45-year-old man with an
FEV of 4.0 L will be functionally impaired by age 75?
5.24 Answer Problem 5.23 for a 25-year-old man with an
FEV of 4.0 L.
Transcribed Image Text:Pulmonary Disease Forced expiratory volume (FEV) is an index of pulmonary function that measures the volume of air expelled after 1 second of constant effort. FEV is influenced by age, sex, and cigarette smoking. Assume that in 45- to 54-year-old nonsmoking men FEV is normally distributed with mean : 4.0 L and standard deviation = 0.5 L. In comparably aged currently smoking men FEV is nor- mally distributed, with mean = 3.5 L and standard deviation = 0.6 L. 5.21 If an FEV of less than 2.5 L is regarded as showing some functional impairment (occasional breathlessness, inability to climb stairs, etc.), then what is the probability that a currently smoking man has functional impairment? 5.22 Answer Problem 5.21 for a nonsmoking man. Some people are not functionally impaired now, but their pulmonary function usually declines with age and they even- tually will be functionally impaired. Assume that the decline in FEV over n years is normally distributed, with mean : 0.03n L and standard deviation = 0.02n L. 5.23 What is the probability that a 45-year-old man with an FEV of 4.0 L will be functionally impaired by age 75? 5.24 Answer Problem 5.23 for a 25-year-old man with an FEV of 4.0 L.
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