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Let X and Y be independent random variables whose probability density function is uniform inside a circle centered at the origin and of radius 12.
Let X and Y be independent random variables whose probability density function is uniform inside a circle centered at the origin and of radius 12. What is the probability that X and Y both lie in the interval [0,2] ? (a) \\(1/ (6\\pi)\\) ('0) \\(\\pi/ 6\\) (C) \\(\\pi/ 36\\) (d) \\(1 / 36\\) (6) \\(1/144\\) (f) \\(1 / 6\\) (g) \\(1/ 12\\) (h) \\(1 / 2\\) (i) \\(1/ (36\\pi)\\) (J) \\(1\\) (k) \\(0\\) (1) None of these
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