Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

c. Suppose a large population of turtles consists only of two species, snapping turtle and box turtle, but the percentage of the species in the population are unknown. What is the maximum possible value of the diversity index D for the population

Sagot :

okpalawalter8

Answer:

[tex]D_m=1/2[/tex]      

Explanation:

From the question we are told that

2 species

Assuming that questions a and be are solved

Diversity index D=2p_1p_2

with [tex]p_1 +p_2 =1[/tex]

Mathematically

[tex]D=2p_1(1-p_1)[/tex]

[tex]D=2(p_1-p_1^2)[/tex]

[tex]D=2({\frac{1}{4} -(p_1-1/2)^2}[/tex]

Therefore

[tex]D=\frac{1}{2} -2(p_1-1/2)^2[/tex]

Giving

[tex]D_m=1/2[/tex]      

[tex]p_1=1/2[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.