Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 3 of them are infected. How many elk are likely to be infected?
no
To estimate the number of elk likely to be infected, we can use a proportion based on the sample.
First, find the proportion of infected elk in the sample:
proportion infected = (number of infected elk in the sample) / (sample size)
proportion infected = 3 / 50 = 0.06
Next, apply this proportion to the entire population of elk:
number of likely infected elk = (proportion infected) * (total population)
number of likely infected elk = 0.06 * 4,750 = 285
Therefore, it is likely that around 285 elk in the population are infected with the parasite.
its 900
Divide 50 from 4750, then multiply the answer by 3, that is your answer.
Prob(infection) = 3/50 =.06
Probable number infected of the 4,750 elk = .06(4750) = 285