Let X and Y be continuous random variables with joint density function f(x,y)={x/5+cy 0<x<1, 1<y<5 0, otherwise, where c is a constant. Find P(X+Y>3).

Angeline Avila

Angeline Avila

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2022-08-18

Let X and Y be continuous random variables with joint density function
f(x,y)={x5+cy0<x<1,1<y<50otherwise
where c is a constant. Find P(X+Y>3).

Answer & Explanation

elgrupomentasb

elgrupomentasb

Beginner2022-08-19Added 9 answers

We have that
P(X+Y>3)=x+y>3fdxdy
=013x5(x5+y20dy)dx
=01(x+2)(7x+8)40dx
=1115
Result:
1115

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