The lifetime distribution of members of a certain stationary population of insects has probability density function 1 25 /50 f(x)= where x is measured in days. (a) Identify the lifetime distribution of an individual and hence write down the expectation of life at birth. (b) Find the life table function Q(x) for members of this population. (c) Find the median lifetime for insects in this population. (d) Find the mean age of insects in this population. x ≥ 0,

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Question

6

The lifetime distribution
of members of a certain stationary population
of insects has probability density function
1
25
f(x) =
xe
2/50
"
x ≥ 0,
where is measured in days.
(a) Identify the lifetime distribution of an individual and hence write
down the expectation of life at birth.
(b) Find the life table function Q(x) for members of this population.
(c)
Find the median lifetime for insects in this population.
(d) Find the mean age of insects in this population.
Transcribed Image Text:The lifetime distribution of members of a certain stationary population of insects has probability density function 1 25 f(x) = xe 2/50 " x ≥ 0, where is measured in days. (a) Identify the lifetime distribution of an individual and hence write down the expectation of life at birth. (b) Find the life table function Q(x) for members of this population. (c) Find the median lifetime for insects in this population. (d) Find the mean age of insects in this population.
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