Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.