. A quality engineer at a manufacturing company is keeping track of the number of parts that are produced during first and second shift that do not fall within the required tolerance bounds. Let X = the number of parts out of the tolerance bounds from first shift and let Y = the number of parts out of the tolerance bounds from the second shift. A joint probability table is given below. Y p(x,y) 1 2 3
. A quality engineer at a manufacturing company is keeping track of the number of parts that are produced during first and second shift that do not fall within the required tolerance bounds. Let X = the number of parts out of the tolerance bounds from first shift and let Y = the number of parts out of the tolerance bounds from the second shift. A joint probability table is given below. Y p(x,y) 1 2 3
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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
Transcribed Image Text:3. A quality engineer at a manufacturing company is keeping track of the number of parts that are
produced during first and second shift that do not fall within the required tolerance bounds. Let
X = the number of parts out of the tolerance bounds from first shift and let Y = the number of
parts out of the tolerance bounds from the second shift. A joint probability table is given below.
Y
p(x,y)
2
3
.05
.06
.04
.13
1
.06
.14
.14
.04
2
.01
.16
.15
.02
а.
Find the marginal distribution for X.
b. Find the marginal distribution for Y.
С.
Find the conditional distribution of P(Y|X = 0).
d. Are X and Y independent? Why or why not?
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