The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard deviation of 4. a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note that to pass from a score, a student should score a grade which is higher than the passing grade.) b) The grade scored by another student from the same course is again normally distributed with a mean of 56 and standard deviation of 3. Find the probability that this student will score higher grade than Mehmet.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard
deviation of 4.
a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note
that to pass from a score, a student should score a grade which is higher than the passing grade.)
b) The grade scored by another student from the same course is again normally distributed with a mean
of 56 and standard deviation of 3. Find the probability that this student will score higher grade than
Mehmet.

The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard
deviation of 4.
a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note
that to pass from a score, a student should score a grade which is higher than the passing grade.)
b) The grade scored by another student from the same course is again normally distributed with a mean
of 56 and standard deviation of 3. Find the probability that this student will score higher grade than
Mehmet.
Transcribed Image Text:The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard deviation of 4. a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note that to pass from a score, a student should score a grade which is higher than the passing grade.) b) The grade scored by another student from the same course is again normally distributed with a mean of 56 and standard deviation of 3. Find the probability that this student will score higher grade than Mehmet.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning