The body mass index (BMI) of a person is defined to be the persons body mass divided by

Chapter 4, Problem 3

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The body mass index (BMI) of a person is defined to be the person's body mass divided by the square of the person's height. The article "Influences of Parameter Uncertainties within the ICRP 66 Respiratory Tract Model: Particle Deposition" (W. Bolch, E. Farfan, et al., Health Physics, 2001:378-394) states that body mass index \(\left(\text { in } \mathrm{kg} / \mathrm{m}^{2}\right)\) in men aged  is lognormally distributed with parameters \(\mu=3.215 \text { and } \sigma=0.157\).

a. Find the mean BMI for men aged .

b. Find the standard deviation of BMI for men aged 25-34.

c. Find the median BMI for men aged 25-34.

d. What proportion of men aged  have a BMI less than 22 ?

e. Find the 75 th percentile of BMI for men aged 25-34.

Equation Transcription:

   

Text Transcription:

(in kg/m2)  

\mu=3.215 and \sigma=0.157

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