I f(x,y) 2 4 1 0.10 0.15 y 3 0.20 0.30 5 0.10 0.15 a. Determine the marginal distribution g(x), x = 2, 4. b. Determine the marginal distribution h(y), y = 1, 3, 5. c. Determine the cumulative distribution function F(x).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I
f(x,y) 2
4
0.10 0.15
0.30
Y
3 0.20
5 0.10 0.15
a. Determine the marginal distribution g(x), x = 2, 4.
b. Determine the marginal distribution h(y), y = 1, 3, 5.
c. Determine the cumulative distribution function F(x).
d. Determine the cumulative distribution function F(y).
e. Determine the conditional distribution of f (xlx), P(X=2 | Y = 3).
f. Determine the conditional distribution of f (xx), P(X=4 | Y = 5).
Transcribed Image Text:I f(x,y) 2 4 0.10 0.15 0.30 Y 3 0.20 5 0.10 0.15 a. Determine the marginal distribution g(x), x = 2, 4. b. Determine the marginal distribution h(y), y = 1, 3, 5. c. Determine the cumulative distribution function F(x). d. Determine the cumulative distribution function F(y). e. Determine the conditional distribution of f (xlx), P(X=2 | Y = 3). f. Determine the conditional distribution of f (xx), P(X=4 | Y = 5).
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