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Let X and Y be continuous random variables with joint density function f(x,y) = 2(x+y)/3.93 on the interval 0 < y < x < 3.9. Calculate the probability that X < 2 and Y > 1 i.e find P(X<2, Y>1). Enter your answer to three decimal places.

Let X and Y be continuous random variables with joint density function f(x,y) = 2(x+y)/3.93 on the interval 0 < y < x < 3.9. Calculate the probability that X < 2 and Y > 1 i.e find P(X<2, Y>1). Enter your answer to three decimal places.

MATLAB: An Introduction with Applications
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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Let \( X \) and \( Y \) be continuous random variables with joint density function \( f(x,y) = \frac{2(x+y)}{3.9^3} \) on the interval \( 0 < y < x < 3.9 \). Calculate the probability that \( X < 2 \) and \( Y > 1 \), i.e. find \( P(X<2, Y>1) \). Enter your answer to three decimal places.
Transcribed Image Text:Let \( X \) and \( Y \) be continuous random variables with joint density function \( f(x,y) = \frac{2(x+y)}{3.9^3} \) on the interval \( 0 < y < x < 3.9 \). Calculate the probability that \( X < 2 \) and \( Y > 1 \), i.e. find \( P(X<2, Y>1) \). Enter your answer to three decimal places.
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