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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 7CR
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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
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