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This problem related to the book of A First Course of Probability, 9th ed, from Chapter 6, 7, 8. Please write it clearly with step

This problem related to the book of A First Course of Probability, 9th ed, from Chapter 6, 7, 8.

Please write it clearly with step by step, thank you!

image text in transcribed
3. (15 points) Two points are selected randomly on a line of length L so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables with X N U (0, g), and Y m U (%,L). Find the probability that the distance between the two points is 2 greater than EL

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