Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come of 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. The joint probability mass function of X and Yis as follows: y 1 0.13 0.12 0.02 0.01 0.10 0.16 0.06 0.02 0.07 0.08 0.08 0.02 0.03 0.04 0.04 0.02 1

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Chapter8: Sequences, Series, And Probability
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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 represent the number of engines, and the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of and is as follows:

Find Cov(X, Y).

Find ρX,Y .

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. The joint probability mass function of X and Y is as follows:
y
0.10
0.16
0.06
0.02
0.13
0.07
0.08
0.08
0.02
0.03
1
0.12
0.04
0.02
0.04
3
0.01
0.02
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 Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y 0.10 0.16 0.06 0.02 0.13 0.07 0.08 0.08 0.02 0.03 1 0.12 0.04 0.02 0.04 3 0.01 0.02
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