The life table function for the members of a stationary animal population is given by Q(x)=1- 0≤x≤k, where x is measured in years. (a) Show that the mean lifetime for members of this population is 2k/3. (b) Find the mean age of the members of the population at any time. (c) (i) What proportion of members of the population live for longer than k/2 years? (ii) At any time, what proportion of members of the population are more than k/2 years old?
The life table function for the members of a stationary animal population is given by Q(x)=1- 0≤x≤k, where x is measured in years. (a) Show that the mean lifetime for members of this population is 2k/3. (b) Find the mean age of the members of the population at any time. (c) (i) What proportion of members of the population live for longer than k/2 years? (ii) At any time, what proportion of members of the population are more than k/2 years old?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Transcribed Image Text:The life table function for the members of a stationary animal
population is given by
Q(x)=1-
0≤x≤k,
where x is measured in years.
(a) Show that the mean lifetime for members of this population is
2k/3.
(b) Find the mean age of the members of the population at any time.
(c) (i) What proportion of members of the population live for longer
than k/2 years?
(ii)
At any time, what proportion of members of the population
are more than k/2 years old?
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