Question

Part of the population of 6,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 2 of them are infected. How many elk are likely to be infected?

Answer 1

240 are likely to be infected.

Based on the sample, the probability of an elk being infected is 2/50. Multiply this by the number of elk:

2/50(6000) = 240.

Answer 2

240 elks are likely to be infected.

Explanation:

Part of the population of 6,000 elk at a wildlife preserve is infected with a parasite.

A random sample of 50 elk shows that 2 of them are infected, that is =
`(2)/(50)` =
`(1)/(25)`

If the population of elk is 6,000, the infected elks are =
`(1)/(25)` × 6,000 = 240 elks

240 elks are likely to be infected.