Marine biologists investigated the biodiversity of fish species in a protected coral reef sanctuary. The counts of five fish species recorded during a standardized transect survey are presented in the table below:
| Fish Species | Number of individuals (nnn) |
|---|---|
| Clownfish | 15 |
| Blue Tang | 35 |
| Parrotfish | 22 |
| Butterflyfish | 18 |
| Damselfish | 30 |
| Total (NNN) | 120 |
Use the formula:
D=1−∑(nN)2 D = 1 - \sum \left(\frac{n}{N}\right)^2 D=1−∑(Nn)2to calculate the Simpson's Index of Diversity (DDD) for this coral reef sanctuary. Give your response to three decimal places.