Example class 5

# Example class 5 - P (A ∩ B) = P (A | B) * P (B)...

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The University of Hong Kong Department of Statistics and Actuarial Science STAT 1301 Probability and Statistics I Example Class 5 Review Exclusive : events are ones that can never occur together, i.e., A never occurs when B occurs. Independent : events are ones where the occurrence (non-occurrence) of one is unconnected with the occurrence (non-occurrence) of the other, i.e., the proportion of times A occurs is the same whether or not B occurs. General Addition rule P (A B) = P (A) + P (B) – P (A B) Addition rule for mutually-exclusive events P (A B) = P (A) + P (B), where P (A B) = 0 General Multiplication Rule

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Unformatted text preview: P (A ∩ B) = P (A | B) * P (B) Multiplication Rule for Independent events P (A ∩ B) = P (A) * P (B), where P (A | B) = P (A) Exercise 1. What is the probability of getting a total of at least 8 and at most 10 when rolling two dice? 2. Let A, B, C be events such that A ∪ B ∪ C = Ω. P (A) = 0.6, P (B) = 0.5, P (C) =0.3 P (A ∩ B) = 0.3 P (B ∩ C) = 0.15 P (A ∩ C) = 0.18 a) Calculate P(A ∪ B), P(A ∪ C) and P(B ∪ C) b) Calculate P(A ∪ B ∪ C) and P (A ∩ B ∩ C) c) Is each pair of A, B, C events mutually exclusive? d) Are A, B and C independent? Assignment question Section A 5 Section B 1...
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## This note was uploaded on 04/29/2010 for the course STAT 1301 taught by Professor Smslee during the Spring '08 term at HKU.

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Example class 5 - P (A ∩ B) = P (A | B) * P (B)...

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