Problem 2.3: A continuous probability distribution is expressed through the following expression. Find: (a) c, (b) P(0.1 < X < 1.8), (c) F(X) Sce-8r for a 2 0 f(r) = elsewhere 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(x) 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 Problem 2.5: A discrete joint probability distribution is expressed through the expression below. Find: (a) c (b) P(2 < X < 6, 3 < Y < 5) (c) P(2.5 < X < 18.5) (d) P((X +Y) > 7) (e) the marginal distributions fx(x) and fy(y) 1 for r = 2, 5, 10, y = 2, 4, 5, where (X +Y) > 4 xy f(x, y) = for r = y = 2 C elsewhere
Problem 2.3: A continuous probability distribution is expressed through the following expression. Find: (a) c, (b) P(0.1 < X < 1.8), (c) F(X) Sce-8r for a 2 0 f(r) = elsewhere 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(x) 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 Problem 2.5: A discrete joint probability distribution is expressed through the expression below. Find: (a) c (b) P(2 < X < 6, 3 < Y < 5) (c) P(2.5 < X < 18.5) (d) P((X +Y) > 7) (e) the marginal distributions fx(x) and fy(y) 1 for r = 2, 5, 10, y = 2, 4, 5, where (X +Y) > 4 xy f(x, y) = for r = y = 2 C elsewhere
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Problem 2.3: A continuous probability distribution is expressed through
the following expression. Find: (a) c, (b) P(0.1 < X < 1.8), (c) F(X)
Ce-8r
for x >0
f(x) =
elsewhere
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(x) 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
C
0.03
0.17 0.02
Problem 2.5: A discrete joint probability distribution is expressed through
the expression below. Find:
(a) c
(b) P(2 < X < 6,3 < Y < 5)
(c) P(2.5 < X < 18.5)
(d) P((X +Y) > 7)
(e) the marginal distributions fx(x) and fy (y)
1
for x = 2,5, 10, y = 2,4, 5, where (X +Y) > 4
xy
f(x, y) =
for r = y = 2
%3D
elsewhere
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman