how to find the probability

dindasg

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May 7, 2016
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hello, could you help me to solve this question ?
thankyou before,
center point in circle with radius 0,5 unit selected randomly of distribution that have joint probability density function:
[FONT=MathJax_Math-italic]f
[FONT=MathJax_Main]([/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math-italic]y[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math-italic]x[/FONT][FONT=MathJax_Math-italic]y[/FONT]
[/FONT]

[FONT=MathJax_Math-italic]
f(x,y)=4xy
[/FONT]
for 0 <= x <= 1 and 0 <= y <= 1. find probability of point (0,0) outcircle.
 
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