2.9 Give the joint (bivariate) cdf of X and Y, Fy(x, y), in tabular form. (Copy and complete this joint cdf table on your paper.) Fxy (x, y) y< 5 5sy<6 y26 x< 1 1sy<2 2sy<3 y2 3 ? ? ? ? ? ? 2.10 Use the joint cdf of X and Y, Fx y (x, y), in #2.9 to compute P(X = 2, Y = 5) (show your computation). 2.11 Give the marginal cdf of X, Fx (x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 43E
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2. Consider the following joint probability mass function, fx y(x, y) of the discrete random variables X and Y.
y
5
6
1
0.15
0.10
2
0.20
0.20
3
0.30
0.05
Transcribed Image Text:2. Consider the following joint probability mass function, fx y(x, y) of the discrete random variables X and Y. y 5 6 1 0.15 0.10 2 0.20 0.20 3 0.30 0.05
2.9 Give the joint (bivariate) cdf of X and Y, Fy(x, y), in tabular form.
(Copy and complete this joint cdf table on your paper.)
Fxy (x, y)
y< 5
5sy<6
y26
x< 1
1sy<2
2sy<3
y2 3
?
?
?
?
?
?
2.10 Use the joint cdf of X and Y, Fx y (x, y), in #2.9 to compute P(X = 2, Y = 5) (show your computation).
2.11 Give the marginal cdf of X, Fx (x).
Transcribed Image Text:2.9 Give the joint (bivariate) cdf of X and Y, Fy(x, y), in tabular form. (Copy and complete this joint cdf table on your paper.) Fxy (x, y) y< 5 5sy<6 y26 x< 1 1sy<2 2sy<3 y2 3 ? ? ? ? ? ? 2.10 Use the joint cdf of X and Y, Fx y (x, y), in #2.9 to compute P(X = 2, Y = 5) (show your computation). 2.11 Give the marginal cdf of X, Fx (x).
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