Problem 2.4: A joint discrete probability function f (x, y) is expressed in the table below. Find: (a) c (b) P(1 < X < 3, 1.5 < Y < 1.7) (c) P(2.5 < X < 3.5) (d) P((X +Y) < 4.6) (e) the marginal distributions fx(x) and fy(y) (f) whether the random variables X and Y are statistically independent. f(r, y) 2.1 3.7 2.9 1.56 0.01 0.05 0.07 y 1.64 0.04 0.03 C 1.72 0.21 0.17 0.02
Problem 2.4: A joint discrete probability function f (x, y) is expressed in the table below. Find: (a) c (b) P(1 < X < 3, 1.5 < Y < 1.7) (c) P(2.5 < X < 3.5) (d) P((X +Y) < 4.6) (e) the marginal distributions fx(x) and fy(y) (f) whether the random variables X and Y are statistically independent. f(r, y) 2.1 3.7 2.9 1.56 0.01 0.05 0.07 y 1.64 0.04 0.03 C 1.72 0.21 0.17 0.02
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:Problem 2.4: A joint discrete probability function f (x, y) is expressed in
the table below. Find:
(а) с
(b) P(1 < X < 3, 1.5 < Y < 1.7)
(c) P(2.5 < X < 3.5)
(d) P((X +Y) < 4.6)
(e) the marginal distributions fx(æ) and fy(y)
(f) whether the random variables X and Y are statistically independent.
f(x, y)
2.1
3.7
2.9
1.56 0.01 0.05 0.07
y| 1.64 0.04
1.72 0.21 0.17 0.02
0.03
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