Two species are competing in a region for control of resources. Let X denote the proportion of resources controlled by species 1 and suppose X has pdf f(x) = (1 0 0≤x≤1 otherwise Then the species that controls the majority of the resources controls the amount in terms of proportion : h(X) = max(X, 1 – X). Calculate E(h(X)).

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.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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Two species are competing in a region for control of resources. Let X
denote the proportion of resources controlled by species 1 and suppose X
has pdf
f(x)
=
1
0
0≤x≤1
otherwise
Then the species that controls the majority of the resources controls the
amount in terms of proportion : h(X) = max(X, 1 – X). Calculate
E(h(X)).
Transcribed Image Text:Two species are competing in a region for control of resources. Let X denote the proportion of resources controlled by species 1 and suppose X has pdf f(x) = 1 0 0≤x≤1 otherwise Then the species that controls the majority of the resources controls the amount in terms of proportion : h(X) = max(X, 1 – X). Calculate E(h(X)).
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