The GPAs of a large population of university students are approximately normally distributed with mean 1.9 and standard deviation 0.62. a) What fraction of students possesses a GPA less than 2.0? b) If students whose GPA is in the top 5% receive a scholarship, what will the cutoff GPA be to receive a scholarship? c) If five students are randomly selected from the student population, what is the probability that at least two of the five will possess a GPA less than 1.0?

The GPAs of a large population of university students are approximately normally distributed with mean 1.9 and standard deviation 0.62. a) What fraction of students possesses a GPA less than 2.0? b) If students whose GPA is in the top 5% receive a scholarship, what will the cutoff GPA be to receive a scholarship? c) If five students are randomly selected from the student population, what is the probability that at least two of the five will possess a GPA less than 1.0?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The GPAs of a large population of university students are approximately normally distributed with mean 1.9 and standard deviation 0.62.

a) What fraction of students possesses a GPA less than 2.0?

b) If students whose GPA is in the top 5% receive a scholarship, what will the cutoff GPA be to receive a scholarship?

c) If five students are randomly selected from the student population, what is the probability that at least two of the five will possess a GPA less than 1.0?

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