Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. Let Z = X + Y represent the total number of repairs needed. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find σZ.. (Round the final answer to three decimal places.)
Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. Let Z = X + Y represent the total number of repairs needed. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find σZ.. (Round the final answer to three decimal places.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. Let Z = X + Y represent the total number of repairs needed. The joint
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x |
0 |
1 |
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3 |
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0 |
0.13 |
0.10 |
0.07 |
0.03 |
|
1 |
0.12 |
0.16 |
0.08 |
0.04 |
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2 |
0.02 |
0.06 |
0.08 |
0.04 |
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3 |
0.01 |
0.02 |
0.02 |
0.02 |
Find σZ.. (Round the final answer to three decimal places.)
Transcribed Image Text:Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off
their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Ythe number of
transmissions that require repairs in a one-hour time interval. Let Z= X + Y represent the total number of repairs needed.
The joint probability mass function of X and Y is as follows:
y
x
0
1
2
3
0
0.13
0.10
0.07
0.03
1
0.12
0.16
0.08
0.04
2
0.02
0.06
0.08
0.04
3
0.01
0.02
0.02
0.02
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