Suppose x and y are continuous random variables with joint pdf f(x,y)=4(x-xy) if 0 < x < 1 and 0 < y< 1 nd zero otherwise. What is probability p[X < Y ]

Tabansi

Tabansi

Answered question

2021-05-13

Suppose x and y are continuous random variables with joint pdf f(x,y)=4(x-xy) if 0 < x < 1 and 0 < y < 1 nd zero otherwise. What is probability p[X < Y ]

Answer & Explanation

Brighton

Brighton

Skilled2021-05-14Added 103 answers

Step 1
Let X and Y are continuous random variables.
Given joint pdf is f(x,y)= 4(x-xy) if 0 < x < 1, 0 < y < 1
Step 2
Consider,
=y=01x=0y4(xxy)dxdy
=4y=01[x22x2y2]0ydy
=4y=01[y22y32]dy
=4[y36y48]01
=4[1618]
=0.1667

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