Question: Probability and statistics question, Hand-written explanation please Let X and Y be two continuous random variables with the following joint probability density function: fxx (2,

Probability and statistics question, Hand-written explanation please

Let X and Y be two continuous random variables with the following joint probability density function: fxx (2, y) = cye y-22 0 0 is a normalizing constant. (a) Find the constant c. Show all the steps. Circle the final answer. (b) Find My (t), the moment generating function of Y. You may keep the answer in terms of the normalizing constant c, if you are not sure about its value which you were to find in part (a). Hint: First find f (y); it is one of the common distributions on the formula sheet. Show all the steps. Circle the final answer. (c) Use the moment generating function to find E(Y ). You may keep the answer in terms of the normalizing constant c, if you are not sure about its value which you were to find in part (a). Show all the steps. Circle the final

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