4. Consider a certain random variable X that may take on one of 8 equally likely outcomes: x₁,x₂,... Xg. Also consider the following events, which consist of the following subsets of X's sample space: A € {X₁, X₂, X3} BE {X4, X5, X6} CE (X5, X6, X7, X8} Calculate P(A), P(B), and P(C). b. Calculate P(AUB). Are events A and B mutually exclusive? a.

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