7. (9 points) The continuous random variables X1 and X2 have joint probability density func- tion fx1,x2(x1, x2) = 0.01,

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7 9 Points The Continuous Random Variables X1 And X2 Have Joint Probability Density Func Tion Fx1 X2 X1 X2 0 01 1 (99.81 KiB) Viewed 35 times

7. (9 points) The continuous random variables X1 and X2 have joint probability density func- tion fx1,x2(x1, x2) = 0.01, for 0 < x1 < 10, 0 < x2 < 10. = (a) (5 points) Find P(2X1 + X2 < 12). (b) (4 points) Are X1 and X2 independent or dependent (justify your answer). Hints: • For Part a, it helps to draw a picture of A (the support of (X1, X2)), as well as a picture of the event (2X1 + X2 < 12). • Be very careful with your bounds of integration. • Be very careful in your use (if any) of dummy variables of integration. •