Question

Emma has three random samples of the same size from a population of 650 people.
In one sample, 78% of people have brown eyes. In another, 85% have brown eyes. In
the third, 83% have brown eyes. About how many people with brown eyes should
she expect are in the population? Show your work.

Answer 1

Step-by-step explanation:

To find out how many people with brown eyes Emma should expect in the population, we can find the average percentage of people with brown eyes across the three samples, and then apply that percentage to the total population size.

Average percentage of people with brown eyes across the three samples:

= (78% + 85% + 83%) / 3

= (78 + 85 + 83) / 3

= 246 / 3

= 82%

Now, we can apply this average percentage to the total population size to find out how many people with brown eyes she should expect:

Number of people with brown eyes = (82/100) * 650

≈ 0.82 * 650

≈ 533

So, Emma should expect about 533 people with brown eyes in the population.