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If you know perfect only please attend already given wrong answers need correct answer with correct steps You have a ruler of length 4 and

If you know perfect only please attend already given wrong answers need correct answer with correct steps

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You have a ruler of length 4 and you choose a place to break it using a uniform probability distribution. Let random variable X represent the length of the left piece of the ruler. X is distributed uniformly in [0, 4]. You take the left piece of the ruler and once again choose a place to break it using a uniform probability distribution. Let random variable Y be the length of the left piece from the second break. a. Draw a picture of the region in the X-Y plane for which the joint density of X and Y is non-zero. b. Find the conditional expectation of Y given X, E(YIX). C. Find the unconditional expectation of Y. d. Give a complete expression for the conditional distribution of X, conditional on Y. e. Compute cov(X, Y)

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