Question

g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have the pattern. In the common subspecies, 5% have the pattern. The rare subspecies accounts for 1% of the population. Given that a beetle has the pattern, what is the probability that it belongs to the rare subspecies

Answer 1

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Explanation:

Probability of having a pattern in rare subspecies
`= 0.98\\`

Percentage of rare subspecies = 1 % = 0.01

Probability of a beetle with pattern belonging to rare subspecies is

`=0.01 * 0.98 \\= 0.098`