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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

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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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:

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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