5.1.2 WP Show that the following function satisfies the proper- ties of a joint probability mass function. X -1.0 -0.5 0.5 1.0 Determine the following: y -2 −1 1 2 fxy(x, y) 1/8 1/4 1/2 1/8 b. P(X < 0.5) d. P(X> 0.25, Y < 4.5) a. P(X < 0.5, Y < 1.5) c. P(Y < 1.5) e. E(X), E(Y), V(X), V(Y) f. Marginal probability distribution of X
5.1.2 WP Show that the following function satisfies the proper- ties of a joint probability mass function. X -1.0 -0.5 0.5 1.0 Determine the following: y -2 −1 1 2 fxy(x, y) 1/8 1/4 1/2 1/8 b. P(X < 0.5) d. P(X> 0.25, Y < 4.5) a. P(X < 0.5, Y < 1.5) c. P(Y < 1.5) e. E(X), E(Y), V(X), V(Y) f. Marginal probability distribution of X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5.1.2 WP Show that the following function satisfies the proper-
ties of a joint probability mass function.
X
-1.0
-0.5
0.5
1.0
Determine the following:
y
-2
−1
1
2
fxy(x, y)
1/8
1/4
1/2
1/8
b. P(X < 0.5)
d. P(X>0.25, Y < 4.5)
a. P(X < 0.5, Y < 1.5)
c. P(Y < 1.5)
e. E(X), E(Y), V(X), V(Y)
f. Marginal probability distribution of X
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answer parts d, e, anf f
Transcribed Image Text:5.1.2 WP Show that the following function satisfies the proper-
ties of a joint probability mass function.
X
-1.0
-0.5
0.5
1.0
Determine the following:
y
-2
-1
1
2
fxy(x, y)
1/8
1/4
1/2
1/8
b. P(X < 0.5)
d. P(X > 0.25, Y < 4.5)
a. P(X < 0.5, Y < 1.5)
c.
P(Y < 1.5)
e. E(X), E(Y), V(X), V(Y)
f. Marginal probability distribution of X
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