lec14 - STATISTICS 13 Lecture 14 Oct 27, 2010 Review...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
STATISTICS 13 Lecture 14 Oct 27, 2010
Background image of page 1

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

View Full DocumentRight Arrow Icon
Review Conditional Probability Independence Equivalent definitions
Background image of page 2
Example: Toss Two Dice Toss two fair dice. A= the sum of two dice is 7 ; B=First die shows a “4” Question: Are A and B independent?
Background image of page 3

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

View Full DocumentRight Arrow Icon
Example: Toss Two Dice (Cont.) If A=the sum of two dice is 6; B=First die shows a “4”, are they still independent?
Background image of page 4
Calculation of Probability: Intersection Multiplication rule: For any two events A and B, probability that both A and B occur is P(A B)=P(A|B)P(B) if P(B)>0, also P(A B)=P(B|A)P(A) if P(A)>0 If two events A and B are independent then, P(A B)=P(A)P(B)
Background image of page 5

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

View Full DocumentRight Arrow Icon
Example: Urn Problem Urn problem: An urn contains three red balls and two yellow balls. Two balls are randomly chosen without replacement , what is the probability that both balls are red? How about balls are chosen with replacement?
Background image of page 6
Example Toss a fair die twice. What is the probability that exactly one “6” shows up ?
Background image of page 7

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

View Full DocumentRight Arrow Icon
Random Variables A random variable is a mapping from the sample space S to the real
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/18/2010 for the course STA 80760 taught by Professor Jiepeng during the Spring '10 term at UC Davis.

Page1 / 15

lec14 - STATISTICS 13 Lecture 14 Oct 27, 2010 Review...

This preview shows document pages 1 - 9. Sign up to view the full document.

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