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20 points) Let C and D be independent events with P(C) = 0.35, P(D) = 0.55, (a) (6 points) What is P(CND)? (b) (4

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20 points) Let C and D be independent events with P(C) = 0.35, P(D) = 0.55, (a) (6 points) What is P(CND)? (b) (4 points) Are C and D two disjoint events? Why or why not? (c) (6 points) What is P(CUD)? == (d) (4 points) Suppose there is a third event, E, that is independent from both C and D. The P(E)=.15. Do C, D, and E make a valid probability distribution?

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