Suppose that the joint CDF of the random variables X and Y is given by 0, x < -2 or y < –5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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EXER 6.1
Suppose that the joint CDF of the random variables X and Y is given by:
0,
x < -2 or y < -5
3/8, -2 <x < 2 and – 5 < y < 3
Fx,y(x, y) =
1/2, x > 2 and – 5 < y< 3
1/2, -2 <x < 2 and y > 3
1,
x > 2 and y > 3
Determine the points (b, d) for which P(X = b, Y = d) > 0,
and evaluate the probabilities at these points.
Transcribed Image Text:EXER 6.1 Suppose that the joint CDF of the random variables X and Y is given by: 0, x < -2 or y < -5 3/8, -2 <x < 2 and – 5 < y < 3 Fx,y(x, y) = 1/2, x > 2 and – 5 < y< 3 1/2, -2 <x < 2 and y > 3 1, x > 2 and y > 3 Determine the points (b, d) for which P(X = b, Y = d) > 0, and evaluate the probabilities at these points.
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