Feceive $2000 and if an electrical or mechanical engineering student earns the scholarship they receive $1000. Given that a junior engineering student earns a scholarship, find the expected amount that is paid to the student. Give answer to the fourth decimal.

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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2. A liberal arts college has an endowment that pays engineering students a scholarship
if they earn over a certain GPA in their junior year. There are three types of junior
engineering students in the college: 40% are in chemical engineering, 25% are in
electrical engineering and 35% are in mechanical engineering. It is known that both
junior electrical and mechanical engineering students are twice as likely to earn the
scholarship as junior chemical engineering students. If a chemical engineering student
earns the scholarship they receive $2000 and if an electrical or mechanical engineering
student earns the scholarship they receive $1000. Given that a junior engineering
student earns a scholarship, find the expected amount that is paid to the student.
Give answer to the fourth decimal.
Transcribed Image Text:2. A liberal arts college has an endowment that pays engineering students a scholarship if they earn over a certain GPA in their junior year. There are three types of junior engineering students in the college: 40% are in chemical engineering, 25% are in electrical engineering and 35% are in mechanical engineering. It is known that both junior electrical and mechanical engineering students are twice as likely to earn the scholarship as junior chemical engineering students. If a chemical engineering student earns the scholarship they receive $2000 and if an electrical or mechanical engineering student earns the scholarship they receive $1000. Given that a junior engineering student earns a scholarship, find the expected amount that is paid to the student. Give answer to the fourth decimal.
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