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2. Let X and Y have the joint probability distribution given by the joint density: XY (,)={(1), 0 <1 0, a. Determine the value of

2. Let X and Y have the joint probability distribution given by the joint density:

XY(,)={(1), 0<1

0,

a. Determine the value of k.

b. Find Pr{X3/4, Y1/2}

3. From question 2 above, derive the distribution function XY(,) for any point (u,v) in the sample space.

Hint: Sketch the region concerned and find XY(,) by suitable integration

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