Suppose that in an electric display sign there are three light bulbs in the first row and four light bulbs in the second row. Let X denote the number of bulbs in the first row that will be burned out at a specified time t , and let Y denote the number of bulbs in the second row that will be burned out at the same time t . Suppose that the joint p.f. of X and Y is as specified in the following table:

Determine each of the following probabilities:
a. Pr(X = 2)
b. Pr(Y ‰¥ 2)
c. Pr(X ‰¤ 2 and Y ‰¤ 2)
d. Pr(X = Y)
e. Pr(X > Y )

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0 0 0.08 0.07 0.06 0.0 0.01 10.06 0.10 0.12 0.05 0.02 2 0.05 0.06 0.09 0.040.03 3 0.02 0.03 0.03 0.03 0.04