Question: Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0

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 should be up to 6 decimal places) 5.1.Determine P(1< X <2). (up to 6 decimal place) 5.2.Determine P(Y >1). (up to 6 decimal place) 5.3. Determine the marginal probability distribution of X. 5.4. Determine E(X). 5.5.Determine P(Y >2 | X = 1). 5.6.Determine the conditional probability distribution of X given that Y = 2

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