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For X1, ..., Xn iid Unif(0, 1): a) ShowX(j) ∼Beta(j,n+1−j) b)Find the joint pdf between X(1)...

For X1, ..., Xn iid Unif(0, 1):

a) ShowX(j) ∼Beta(j,n+1−j)

b)Find the joint pdf between X(1) and X(n)

c) Show the conditional pdf X(1)|X(n) ∼ X(n)Beta(1, n − 1

Math   Statistics-And-Probability   
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