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, m
ore than 100 of them have blue eyes?
1
0.986
0.08
0.0569
0.0099
1 answer:
Answer:
The answer is 0.0099
Explanation:
The mean of sample is 0.08.
The standard deviation of the sample 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
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