Let X and Y be continuous random variables with joint density function f(x,y) = 2(x+y)/3.53 on the interval 0 < y < x < 3.5. Calculate the probability that X < 2. i.e. find P(X <2). Enter your answer to three decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 16E
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Let X and Y be continuous random
variables with joint density function
f(x,y) = 2(x+y)/3.53 on the interval 0 <
y<x < 3.5. Calculate the probability
that X < 2. i.e. find P(X <2). 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) = 2(x+y)/3.53 on the interval 0 < y<x < 3.5. Calculate the probability that X < 2. i.e. find P(X <2). Enter your answer to three decimal places.
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