Let X and Y be random variables, and a and b be constants.

a. Prove that Cov(aX, bY)=abCov(X,Y).

b. Prove that if a > 0 and b > 0, then . Conclude that the correlation coefficient is unaffected by changes in units.




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In the accompanying figure, a(n) ____________________ is used as short-circuit protection for the control wiring.



Fill in the blank(s) with the appropriate word(s).

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A building is said to have sick-building syndrome when more than what percent of its occupants complain during a two-week period of symptoms that are alleviated when the occupants leave the building?

a. 20 percent b. 25 percent c. 50 percent d. 80 percent

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A low voltage on the pressure sensor's supply circuit could be caused by any of the following except:

A. An open in the supply circuit wire. B. A short to ground in the supply circuit wire. C. High internal resistance in the sensor. D. Excessive voltage drop in the supply circuit.

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At a constriction in a pipe the flow velocity will decrease and the pressure will rise

Indicate whether the statement is true or false

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