Question: Answer the following question . (37 marks) The joint PDF of X and Y is equal to l on the triangle that is shown below,

Answer the following question

. (37 marks) The joint PDF of X and Y is equal to l on the triangle that is shown below, and is equal to zero elsewhere. Answer the following questions about these two random variables. (Please include all your calculations. You will not get any mark if you only write the nal answer.) (a) (5 marks) What is the marginal PDF of Y? (b) (6 marks) What is the conditional PDF of X given Y = 0.5? What is the conditional expected value of X given Y = 0.5

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