Question

The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?

Answer 1

Answer:

0.039

Step-by-step explanation:

Answer 2

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

What is z score?

The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean of 150 and a standard deviation of 8.5. Hence:

For x > 165

z = (165 - 150)/8.5 = 1.76

P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

Find out more on z score at: https://brainly.com/question/25638875