[Solution Library] [5 + 5 = 10 pts] Suppose X1, X2, X3, X4 are independent Uniform (0, 1) random variables. Define U = maxX1, X2 and V = maxX3, X4. Find
Question: [5 + 5 = 10 pts]
Suppose X1, X2, X3, X4 are independent Uniform (0, 1) random variables. Define U = max{X1, X2} and V = max{X3, X4}. Find (a) the PDF of U and V and (b) use convolution rule to find the PDF of U+V.
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