find Probability

Question

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. Find the probability that the person has an IQ greater than 125.

Write the probability statement.

What is the probability? (Round your answer to four decimal places.)

Answer 1

Standardize the normal distribution

P(X≥125) = P(Z≥[125-100]/15) = P(Z≥1.67) ≈ 1 - 0.9525 = 0.0475

Refer to a z-table to get the above value.

Hope this helped!