g. Determine if the random variables are statistically independent considering f (2, 1). I f(x, y) 1 2 3 0.05 0.05 0.10 0.05 0.10 0.35 Y 0.00 0.20 0.10 1 3 5
g. Determine if the random variables are statistically independent considering f (2, 1). I f(x, y) 1 2 3 0.05 0.05 0.10 0.05 0.10 0.35 Y 0.00 0.20 0.10 1 3 5
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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...
Related questions
Question
Question:
g
Transcribed Image Text:Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given below:
a. Find the marginal distribution g(x), x = 1, 2, 3.
b. Find the marginal distribution h(y), y = 1, 2, 3.
c. List the cumulative distribution function F(x).
d. List the cumulative distribution function F(y).
e. Find the conditional distribution of f(xly), P(X=1| Y = 3).
f. Find the conditional distribution of f (ylx), P(X = 31 Y = 3).
g. Determine if the random variables are statistically independent considering f
(2, 1).
I
f(x,y)
1
2
3
0.05
0.05
0.10
0.05
0.10
0.35
Y
0.00
0.20
0.10
1
3
5
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON