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 4.2 L and standard deviation - 0.5 L. In comparably aged currently smoking men FEV is normally distributed, with mean 3.2 L and standard deviation - 0.6 L. (Assume that FEV can be measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) USE SALT (a) If an FEV of less than 2.5 L is regarded showing some functional impairment (occasional breathlessness, inability to climb stairs, etc.), then what is the probability that a currently smoking man has functional impairment? (b) What is the probability that a currently nonsmoking man has functional impairment? Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually 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. (Assume that FEV can measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) (c) What is the probability that a 47-year-old man with an FEV of 4.6 L will be functionally impaired by age 81? (d) What is the probability that a 31-year-old man with an FEV of 4.6 L will be functionally impaired by age 81.
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 4.2 L and standard deviation - 0.5 L. In comparably aged currently smoking men FEV is normally distributed, with mean 3.2 L and standard deviation - 0.6 L. (Assume that FEV can be measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) USE SALT (a) If an FEV of less than 2.5 L is regarded showing some functional impairment (occasional breathlessness, inability to climb stairs, etc.), then what is the probability that a currently smoking man has functional impairment? (b) What is the probability that a currently nonsmoking man has functional impairment? Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually 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. (Assume that FEV can measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) (c) What is the probability that a 47-year-old man with an FEV of 4.6 L will be functionally impaired by age 81? (d) What is the probability that a 31-year-old man with an FEV of 4.6 L will be functionally impaired by age 81.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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