In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The total number of assemblies that fail to meet specifications is X+ Y. The joint probability mass function of X and Y is given in the table below: y x 0 1 2 3 0 0.15 0.12 0.11 0.10 1 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 3 0.04 0.03 0.02 0.01
In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The total number of assemblies that fail to meet specifications is X+ Y. The joint probability mass function of X and Y is given in the table below: y x 0 1 2 3 0 0.15 0.12 0.11 0.10 1 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 3 0.04 0.03 0.02 0.01
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
In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The total number of assemblies that fail to meet specifications is X + Y. The joint probability mass
y |
||||
---|---|---|---|---|
x |
0 |
1 |
2 |
3 |
0 |
0.15 |
0.12 |
0.11 |
0.10 |
1 |
0.09 |
0.07 |
0.05 |
0.04 |
2 |
0.06 |
0.05 |
0.04 |
0.02 |
3 |
0.04 |
0.03 |
0.02 |
0.01 |
Find µX+Y. (Round the final answer to two decimal places.)
Find σX+Y. (Round the final answer to four decimal places.)
Find P(X + Y = 3). (Round the final answer to two decimal places.)

Transcribed Image Text:In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot
of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The total
number of assemblies that fail to meet specifications is X+ Y. The joint probability mass function of X and Y is given in the
table below:
y
x
0
1
2
3
0
0.15
0.12
0.11
0.10
1
0.09
0.07
0.05
0.04
2
0.06
0.05
0.04
0.02
3
0.04
0.03
0.02
0.01
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 2 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