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 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 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 the conditional probability mass function pY|X(y|1). (Round the final answer to two decimal places.)
The value of pY|X(0|1) is .
The value of pY|X(1|1) is .
The value of pY|X(2|1) is .
The value of pY|X(3|1) is
Find the conditional probability mass function pX|Y(x∣2).
pX|Y(0∣2) = (Round the final answer to one decimal place.)
pX|Y(1|2) = (Round the final answer to four decimal places.)
pX|Y(2|2) = (Round the final answer to four decimal places.)
pX|Y(3|2) = (Round the final answer to four decimal places.)
Find the conditional expectation E(Y|X = 1). (Round the final answer to two decimal places.)
Find the conditional expectation E(X|Y = 2). (Round the final answer to four decimal places.)
![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 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe4cc3bd-50bd-4f2a-bb58-c59542d27291%2Fae2fffe8-7c5e-4e16-bba2-7ff7671bdd80%2Ft4kb0kw_processed.png&w=3840&q=75)
Unlock instant AI solutions
Tap the button
to generate a solution
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)