In a class there are 4 students who are 19 years old and obtained 80 pints in the midterm. There are 6 students who are 19 years old and obtained 50 pints in the midterm. There are 6 students who are 20 years old and obtained 80 pints in the midterm. There are n students who are 20 years old and obtained 50 pints in the midterm. There are no other students. We randomly pick a student in the class, let their age be X and their score by Y. If we are given that X, Y are independent random variables, then compute n.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In a class there are 4 students who are 19 years old and obtained 80 points in the midterm. There are 6 students who are 19 years old and obtained 50 points in the midterm. There are 6 students who are 20 years old and obtained 80 points in the midterm. There are \( n \) students who are 20 years old and obtained 50 points in the midterm. There are no other students.

We randomly pick a student in the class, let their age be \( X \) and their score by \( Y \). If we are given that \( X, Y \) are independent random variables, then compute \( n \).
Transcribed Image Text:In a class there are 4 students who are 19 years old and obtained 80 points in the midterm. There are 6 students who are 19 years old and obtained 50 points in the midterm. There are 6 students who are 20 years old and obtained 80 points in the midterm. There are \( n \) students who are 20 years old and obtained 50 points in the midterm. There are no other students. We randomly pick a student in the class, let their age be \( X \) and their score by \( Y \). If we are given that \( X, Y \) are independent random variables, then compute \( n \).
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