GIVEN:
We are given a table which shows the distribution of different classes of animals and all are grouped into two, either endangered or threatened.
Required;
If an animal is chosen at random, what is the approximate probability that the chosen animal is threatened and a reptile?
Step-by-step solution;
Note that the total number of threatened animals are 68 in number. Of these 32 are reptiles. That means out of a total of 219 animals altogether, 32 are threatened and a reptile.
Therefore, the approximate probability that the chosen animal is threatened and a reptile will be;
[tex]\begin{gathered} P[threatened\text{ }and\text{ }reptile]=\frac{32}{219} \\ \\ P[threatened\text{ }and\text{ }reptile]=0.146118721461 \\ \\ Approximate\text{ }to\text{ }2\text{ }decimal\text{ }places: \\ \\ P[threatened\text{ }and\text{ }reptile]\approx0.15 \end{gathered}[/tex]
Therefore,
ANSWER:
The approximate probability that an animal chosen at random is threatened and a reptile is 0.15 or expressed as a percentage will be 15%.
