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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)).

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)).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
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...
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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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