Examine the relationship between independent, dependent, and mutually exclusive events. Consider two events A and B that

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Examine the relationship between independent, dependent, and mutually exclusive events. Consider two events A and B that are mutually exclusive such that P1A2 0.

a. Calculate P1AB2.

b. What does your answer to part a say about whether two mutually exclusive events are dependent or independent?

c. Consider two events C and D such that P1C 2 = 0.4 and P1CD2 = 0.15. (1) Are events C and D mutually exclusive? (2) Are events C and D independent or dependent? Are dependent events necessarily mutually exclusive events?

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