Question

About 8% of the world's population is said to have blue eyes. What is the probability that in a random sample of 1,000 people, more than 100 of them have blue eyes? 1 0.986 0.08 0.0569 0.0099

Answer 1

0.0099

Explanation:

The sample mean is 0.08.

The sample standard deviation is:

s = √(0.08 (1 − 0.08) / 1000)

s = 0.00858

Since n > 30, we can approximate this as a normal distribution. The z score is:

z = (0.1 − 0.08) / 0.00858

z = 2.33

Using a z-score table:

P(x > 2.33) = 1 − 0.9901

p(x > 2.33) = 0.0099