Question

The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean of 2.7 and standard deviation 0.7 a) What fraction of the students will possess a GPA in excess of 3.0? b) If students possessing a GPA less than 1.9 are dropped from college, what percentage of students will be dropped? c) Suppose that five students are randomly selected from the student body. What is the probability that at least three will possess a GPA in excess of 3.0?

Name: the grade point averages gpas of a large population of college students are approximately normally distributed with mean of 27 and standard deviation 07 a what fraction of the students will 76317
Uploaded: 2023-08-04T23:36:36-08:00
Duration: 3 min
Channel: Ana Carolina Da Cruz
Description: the grade point averages gpas of a large population of college students are approximately normally distributed with mean of 27 and standard deviation 07 a what fraction of the students will 76317

          The grade point averages (GPAs) of a large population of college
students are approximately normally distributed with mean of 2.7
and standard deviation 0.7
a) What fraction of the students will possess a GPA in excess of
3.0?
b) If students possessing a GPA less than 1.9 are dropped from
college, what percentage of students will be dropped?
c) Suppose that five students are randomly selected from the
student body. What is the probability that at least three will
possess a GPA in excess of 3.0?

Added by Laura M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ana Carolina Da Cruz

08/04/2023

Step 1

0, we need to find the z-score for a GPA of 3.0 and then find the area to the right of that z-score in the standard normal distribution. The z-score is calculated as follows: z = (X - μ) / σ z = (3.0 - 2.7) / 0.7 z = 0.3 / 0.7 z ≈ 0.43 Now, we look up the area to Show more…

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The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean of 2.7 and standard deviation 0.7 a) What fraction of the students will possess a GPA in excess of 3.0? b) If students possessing a GPA less than 1.9 are dropped from college, what percentage of students will be dropped? c) Suppose that five students are randomly selected from the student body. What is the probability that at least three will possess a GPA in excess of 3.0?