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 1. From the answer in Question 5, Determine P(Y >1). (up to 6 decimal place) 2. From the answer in Question 5, Determine P(1< X <2). (up to 6 decimal place) 3. From the answer in Question 5, Determine E(X).

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

1. From the answer in Question 5, Determine P(Y >1). (up to 6 decimal place)

2. From the answer in Question 5, Determine P(1< X <2). (up to 6 decimal place)

3. From the answer in Question 5, Determine E(X).

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