# Question This is a question about statistics Q{1(a).} Give the precise definitions of the following statements. {i.} Events A and B are mutually exclusive. {ii.} Events A and B are independent. {iii.} Events A, B and C are mutually independent. Q{1(b).} Let A, B and C are events with P(A) = 0.3, P(B) = 0.4, P(C) = 0.5, A and B are disjoint, A and C are independent, and P(B|C) = 0.1. Find P(AU BUC).

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This is a question about statistics

Transcribed Image Text: Q{1(a).} Give the precise definitions of the following statements. {i.} Events A and B are mutually exclusive. {ii.} Events A and B are independent. {iii.} Events A, B and C are mutually independent. Q{1(b).} Let A, B and C are events with P(A) = 0.3, P(B) = 0.4, P(C) = 0.5, A and B are disjoint, A and C are independent, and P(B|C) = 0.1. Find P(AU BUC).
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Transcribed Image Text: Q{1(a).} Give the precise definitions of the following statements. {i.} Events A and B are mutually exclusive. {ii.} Events A and B are independent. {iii.} Events A, B and C are mutually independent. Q{1(b).} Let A, B and C are events with P(A) = 0.3, P(B) = 0.4, P(C) = 0.5, A and B are disjoint, A and C are independent, and P(B|C) = 0.1. Find P(AU BUC).