Question: Consider two discrete random variables, X and Y, that are independent of each other. Table 2 contains the probability mass functions for these variables. Table

Consider two discrete random variables, X and Y, that are independent of each other. Table 2 contains the probability mass functions for these variables. Table 2:

x P(X=x) y P(Y=y)

0 .5 5 .3

1 .2 6 .6

2 .3 7 .1

Find the variance of random variable D, if variable D = 2X-3Y+10. Round your answer to 2 digits after the decimal point. (For example, if you get 2.345, round your answer to 2.35; if you get 2.344, round your answer to 2.34).

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