Problem 4. Suppose that a person's score X on a mathematics aptitude test is a number between 0 and 1, and that their score Y on a music aptitude test is also a number between 0 and 1. Suppose further that in a certain population, the scores X and Y are distributed according to the joint PDF for 0≤ x, y ≤1 (2x+3y) otherwise f(x, y) - (A) What proportion of college students obtain a score greater than 0.8 on the math test? (B) If the student's score on the music test is 0.3, what is the probability that their score on the math test will be greater than 0.8? (C) If a student's score on the math test is 0.3, what is the probability that their music test will be greater than 0.8?
Problem 4. Suppose that a person's score X on a mathematics aptitude test is a number between 0 and 1, and that their score Y on a music aptitude test is also a number between 0 and 1. Suppose further that in a certain population, the scores X and Y are distributed according to the joint PDF for 0≤ x, y ≤1 (2x+3y) otherwise f(x, y) - (A) What proportion of college students obtain a score greater than 0.8 on the math test? (B) If the student's score on the music test is 0.3, what is the probability that their score on the math test will be greater than 0.8? (C) If a student's score on the math test is 0.3, what is the probability that their music test will be greater than 0.8?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4. Suppose that a person's score X on a mathematics aptitude test is a number between
0 and 1, and that their score Y on a music aptitude test is also a number between 0 and 1. Suppose
further that in a certain population, the scores X and Y are distributed according to the joint PDF
(2x + 3y) for 0≤x, y ≤1
f(x, y) =
otherwise
(A) What proportion of college students obtain a score greater than 0.8 on the math test?
(B) If the student's score on the music test is 0.3, what is the probability that their score on the
math test will be greater than 0.8?
(C) If a student's score on the math test is 0.3, what is the probability that their music test will
be greater than 0.8?
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