Question

A large number of applicants for admission to graduate study in business are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80. what fraction of applicants would you expect to have scores of 600 or above? multiple choice .0852 .5401 .0401 .4599

Answer 1

The fraction of applicants with scores of 600 or above is 0.0401.

Step-by-step explanation:

To find the fraction of applicants with scores of 600 or above, we need to calculate the z-score for a score of 600 using the formula:

z = (X - mean) / standard deviation

Substituting the values given, we get:

z = (600 - 460) / 80 = 1.75

The fraction of applicants with scores of 600 or above can be found by using a z-table or calculator to find the area to the right of the z-score of 1.75. This area represents the probability of getting a score of 600 or above and is equal to 0.0401.