The probability that in a random sample of 1,500 people, more than 45 of them has gray eyes is 0.0028.
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Probability:</h3>
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:brainly.com/question/25870256
