Let X and Y be uniformly distributed over the region given by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and y ≤ x. (a) Find the joint pdf for X and Y. (b) Evaluate P(x≤ny≤ 1).

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A: Please note that I have answered as per our guidelines. Please repost the remaining questions…

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A: Introduction: Denote the random variable of interest as Y.

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A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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A: I solved exactly first three subparts because of bartleby policy if you want more please upload…