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118. Diversity Index Shannon's diversity index is a measure of the diversity of a population. The diversity index is given by the formula H = - (pı log pi + p2 log p2 + ... + Pa log Pm) where p, is the proportion of the population that is species 1, P2 is the proportion of the population that is species 2, and so on. (a) According to the U.S. Census Bureau, the distribution of race in the United States in 2009 was as follows: Race Proportion American Indian or Native Alaskan 0.008 Asian 0.045 Black or African American 0.125 Hispanic 0.159 Native Hawaiian or Pacific Islander 0.001 White 0.662 Source: U.S. Census Bureau Compute the diversity index of the United States in 2009. (b) The largest value of the diversity index is given by Hmax = log(S), where S is the number of categories of race. Compute Hmax- H (c) The evenness ratio is given by EH H, where 0 s En s 1. If EH = 1, there is complete evenness. Compute the evenness ratio for the United States.

118. Diversity Index Shannon's diversity index is a measure of the diversity of a population. The diversity index is given by the formula H = - (pı log pi + p2 log p2 + ... + Pa log Pm) where p, is the proportion of the population that is species 1, P2 is the proportion of the population that is species 2, and so on. (a) According to the U.S. Census Bureau, the distribution of race in the United States in 2009 was as follows: Race Proportion American Indian or Native Alaskan 0.008 Asian 0.045 Black or African American 0.125 Hispanic 0.159 Native Hawaiian or Pacific Islander 0.001 White 0.662 Source: U.S. Census Bureau Compute the diversity index of the United States in 2009. (b) The largest value of the diversity index is given by Hmax = log(S), where S is the number of categories of race. Compute Hmax- H (c) The evenness ratio is given by EH H, where 0 s En s 1. If EH = 1, there is complete evenness. Compute the evenness ratio for the United States.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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118. Diversity Index Shannon's diversity index is a measure of the diversity of a population. The diversity index is given by the formula H = - (pı log pi + p2 log p2 + ... + Pa log Pm) where p, is the proportion of the population that is species 1, P2 is the proportion of the population that is species 2, and so on.
Transcribed Image Text:118. Diversity Index Shannon's diversity index is a measure of the diversity of a population. The diversity index is given by the formula H = - (pı log pi + p2 log p2 + ... + Pa log Pm) where p, is the proportion of the population that is species 1, P2 is the proportion of the population that is species 2, and so on.
(a) According to the U.S. Census Bureau, the distribution of race in the United States in 2009 was as follows: Race Proportion American Indian or Native Alaskan 0.008 Asian 0.045 Black or African American 0.125 Hispanic 0.159 Native Hawaiian or Pacific Islander 0.001 White 0.662 Source: U.S. Census Bureau Compute the diversity index of the United States in 2009. (b) The largest value of the diversity index is given by Hmax = log(S), where S is the number of categories of race. Compute Hmax- H (c) The evenness ratio is given by EH H, where 0 s En s 1. If EH = 1, there is complete evenness. Compute the evenness ratio for the United States.
Transcribed Image Text:(a) According to the U.S. Census Bureau, the distribution of race in the United States in 2009 was as follows: Race Proportion American Indian or Native Alaskan 0.008 Asian 0.045 Black or African American 0.125 Hispanic 0.159 Native Hawaiian or Pacific Islander 0.001 White 0.662 Source: U.S. Census Bureau Compute the diversity index of the United States in 2009. (b) The largest value of the diversity index is given by Hmax = log(S), where S is the number of categories of race. Compute Hmax- H (c) The evenness ratio is given by EH H, where 0 s En s 1. If EH = 1, there is complete evenness. Compute the evenness ratio for the United States.
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