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Anna71 [15]
3 years ago
6

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
Advanced Placement (AP)
1 answer:
il63 [147K]3 years ago
7 0

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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