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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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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y |
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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.)
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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