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Mathematics, 25.11.2021 14:10 mmaglaya1

g Let X and Y have joint pdf given by f (x, y) = { kxy if x, y ∈[0, 1] 0 otherwise. (a) Find the value of k which makes this a pdf. (b) Compute P (X ≤ 1 2, Y ≤ 3 4). (c) Compute P (Y ≤X2). (d) Find the marginal pdfs for X and Y . Are X and Y independent?

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g Let X and Y have joint pdf given by f (x, y) = { kxy if x, y ∈[0, 1] 0 otherwise. (a) Find the val...
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