5. Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and 0 < y < x. Answer is C = 2/27 a. From the answer in Question 5, Determine the marginal probability distribution of X. b. From the answer in Question 5, Determine the conditional probability distribution of X given that Y = 2. c. From the answer in Question 5, Determine E(Y | X = 1). (up to 6 decimal place)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and 0 < y < x. Answer is C = 2/27

a. From the answer in Question 5, Determine the marginal probability distribution of X.

b. From the answer in Question 5, Determine the conditional probability distribution of X given that Y = 2.

c. From the answer in Question 5, Determine E(Y | X = 1). (up to 6 decimal place)

 

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