Question

Please be clear and show all steps.
Please specify how to get f(x) and f(y) and also specify how to get the limits of the integration.
i will give it a LIKE. Thank you.

Two points are selected randomly on a line of length L so as to be on opposite sides of the mid- point of the line. [In other words, the two points X and Y are independent random variables such that X is uniformly distributed over (0, L/2) and Y is uniformly distributed over (L/2, L).] Find the probability that the distance between the two points is greater than L/3

Answer 1

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Now Nio " 는 4 L = Ty 4 I J j dy dut I 나 ㄴ 벨 4 dy, dn. 아 J (yl dit J (y1 da Is 3 1 얘 s t art that 임 (" how + J (4] d. 이 - S L), ( 1 79 ptr)} - A4,

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