Week 2 Wed Sept 8a - 1 WEEK 2 Wed, Sept 8 Expected New...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: 1 WEEK 2 Wed, Sept 8 Expected New Coverage for Today . Ideas in Chapter 2, Sections 2-4 and 2-5. Example 1. Rolling Two Balanced Dice. For purposes of enumerating outcomes, think of one die as green in color and the other as red in color. We take S to consist of all ordered pairs (i, j) where i denotes the outcome for the Green die and j denotes the outcome for the Red die. S consists of 6 x 6 = 36 ordered pairs. Red 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) Green 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) We use this Probability Model: The 36 outcomes are equally likely. If A is the event Total of the pips on the top faces of the two dice is 8, then formally A = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}. It contains 5 of the 36 equally likely outcomes of S so that 2 Intersection . If A and B are events then their intersection is an event. It consists of all outcomes that are in both A and B . For modeling we take as a basic rule (2-8) Spoken as probability of B given A Spoken as probability of...
View Full Document

This note was uploaded on 02/01/2011 for the course STAT 315 taught by Professor Dennisgilliland during the Summer '10 term at Michigan State University.

Page1 / 8

Week 2 Wed Sept 8a - 1 WEEK 2 Wed, Sept 8 Expected New...

This preview shows document pages 1 - 3. Sign up to view the full document.

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