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There exist 2 r. variables X and Z where conditional on Z, X is uniformally distributed from 0 to Z+1 while Z has a uniform

There exist 2 r. variables X and Z whereconditional on Z, X is uniformally distributed from 0 to Z+1while Z has auniformdistribution from 0 to 1.

Question 1:What is the expected value of X given Z and conversely Z given X? What is the expected value of X?

Question 2:Given that x is distributed uniformally for x between 0 and 1 what is P(X<=x) ?

Question 3:Find the marginal distribution for X and the equivalent for Z?

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