Show that the following function satisfies the proper- ties of a joint probability mass function. y 1x(x-3)

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Show that the following function satisfies the proper- ties of a joint probability mass function. y 1x(x-3) -2 1/8 -0.5 1/4 0.5 1 1/2 1 2 1/8 devices 1 and 2, respectively. Assume the devices are inde- pendent. Determine:

(a) f(x,y)

(b) fx(x)

(c) E(X)

(d) 12 (y)

(e) E(YX=2)

(f) (X=2) (g) Are X and Y independent?

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Applied Statistics And Probability For Engineers

ISBN: 9780470053041

5th Edition

Authors: Douglas C. Montgomery, George C. Runger

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