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1 Uniform Uniform Computation Suppose X Uniform[0,1] and Y Uniform[0,X]. That is, conditioned on X = x, Y has a Uniform[0,x] distribution. (a) What is

1 Uniform Uniform Computation Suppose X Uniform[0,1] and Y Uniform[0,X]. That is, conditioned on X = x, Y has a Uniform[0,x] distribution.

(a) What is P[Y > 1/2]?

(b) Calculate Cov(X,Y).

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