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Assume that 30% of the students in a college have GPA over 3.0. Consider randomly selected group of 10 students. How many of them you expect to have GPA over 3.0? Enter the integer value. 0.009

Assume that 30% of the students in a college have GPA over 3.0. Consider randomly selected group of 10 students. How many of them you expect to have GPA over 3.0? Enter the integer value. 0.009

A First Course in Probability (10th Edition)
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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**Question 3** Assume that 30% of the students in a college have a GPA over 3.0. Consider a randomly selected group of 10 students. How many of them do you expect to have a GPA over 3.0? *Enter the integer value.* [Input Box: 0.009] --- **Explanation:** To find the expected number of students with a GPA over 3.0, multiply the total number of students in the group (10) by the percentage of students expected to have a GPA over 3.0 (30%). **Calculation:** 0.3 (probability) x 10 (students) = 3 Thus, you would expect 3 students to have a GPA over 3.0. The input box indicates a placeholder for the answer where students should enter "3" as the integer value.
Transcribed Image Text:**Question 3** Assume that 30% of the students in a college have a GPA over 3.0. Consider a randomly selected group of 10 students. How many of them do you expect to have a GPA over 3.0? *Enter the integer value.* [Input Box: 0.009] --- **Explanation:** To find the expected number of students with a GPA over 3.0, multiply the total number of students in the group (10) by the percentage of students expected to have a GPA over 3.0 (30%). **Calculation:** 0.3 (probability) x 10 (students) = 3 Thus, you would expect 3 students to have a GPA over 3.0. The input box indicates a placeholder for the answer where students should enter "3" as the integer value.
Expert Solution
Step 1

Given that 

n = 10 , p = 30% = 0.30

p = Probability of the students in a college have GPA over 3

X = Number of the students in a college have GPA over 3

X ~ Binomial(n = 10 , p = 0.30)

 

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