Example class 5

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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

This note was uploaded on 04/29/2010 for the course STAT 1301 taught by Professor Smslee during the Spring '08 term at HKU.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online