Examlex
The random variable X has the cumulative distribution function F(x)whose value or derivative is shown below for various values of x.F(0)= 0,
=
,for 0 < x < 2,P(X = 2)=
,so F(2)=
,
=
,for 2 < x < 3,F(3)= 1.Generate four random observations from this probability distribution by using the following uniform random numbers:
.Also calculate the sample average and compare it with the true mean
for this probability distribution.
National Parks
Protected areas established by a government to preserve natural landscapes and wildlife for public enjoyment and conservation.
Deforestation
The removal of trees and forests, typically for agriculture or urban development.
Biodiversity
The variety of life in the world or in a particular habitat or ecosystem, indicating the health and resilience of biological systems.
Water Supplies
The availability of water resources to meet the consumption needs of individuals, communities, and ecosystems.
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