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About 2% of the world's population have gray eyes. What is the probability that in a random sample of 1,500 people, more than 45 of them has gray eyes?.

Sagot :

abiolataiwo2015

The probability that in a random sample of 1,500 people, more than 45 of them has gray eyes is 0.0028.

Probability:

First step is to find the mean

Mean(μ) = np = (0.02) (1500)

Mean(μ) = 30

Second step is to find the standard deviation

Standard deviation (σ)= √(npq)

Standard deviation (σ)= √(0.02 × 0.98 × 1500)

Standard deviation (σ)= 5.42

Third step is to find the z-score

z-score = (x − μ) / σ

z-score = (45 − 30) / 5.42

z-score = 2.77

Fourth step is to find the probability

Where:

P=Probability

P(z > 2.77) = 1 − P(z < 2.77)]

P(z > 2.77) = 1 − 0.9972

P(z > 2.77) =0.0028

Inconclusion the probability that in a random sample of 1,500 people, more than 45 of them has gray eyes is 0.0028.

Learn more about probability here:https://brainly.com/question/25870256

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