In the U. S, the IQ test has a normal distribution with a mean of 100 and a standard deviation of 15. What percent of the population has an IQ more than 133?

Question

Mathematics

Sammy Schneider

27 January, 03:22

In the U. S, the IQ test has a normal distribution with a mean of 100 and a standard deviation of 15. What percent of the population has an IQ more than 133?

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Answers (1)

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Ramos · Answer 1

1.32%

Step-by-step explanation:

First, find the z-score:

z = (x - μ) / σ

z = (133 - 100) / 15

z = 2.2

Use a calculator or z-score table to find the probability.

P (x > 2.2) = 1 - 0.9868

P (x > 2.2) = 0.0132

1.32% of the population has an IQ more than 133.