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?

Respuesta :

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:

240 elks are likely to be infected.

Step-by-step 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 = [tex]\frac{2}{50}[/tex] = [tex]\frac{1}{25}[/tex]

If the population of elk is 6,000, the infected elks are = [tex]\frac{1}{25}[/tex] × 6,000 = 240 elks

240 elks are likely to be infected.