STAT 4105 - xam 1 Study Sheet

STAT 4105 - xam 1 Study Sheet - STAT 4105 Exam 1 Study...

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

View Full Document Right Arrow Icon
STAT 4105 Exam 1 – Study Sheet = PAB |A B||B| ∪ = + - A B A B A Urn Problems 1) Ordered Lists with Replacement # Lists = n × n × n × … × n k = n K 2) Ordered Lists without Replacement # Lists = n × (n-1) × (n-2) × … × (n-k+1) = n! / (n-k)! = (n) k 3) Unordered Sets without Replacement # Sets = (n) k / k! = nk Limits - /( - - ) ≤ ≤ - /( ) e nk n k 1 nknk e nk n *When limits are close together, ≈ - /( ) nknk e nk n Axioms of Probability PAB 0 > PBB 0 = + - PA BC PAC PB AC ( ∩ ) PA BC PACP B|A C Discrete Probability How to reverse a condition (Assume common condition E) = ( ) ( ) PDC PDP C|D P C Bayes’ Theorem = ( ) ( )= ( ) = ( ) PBiA PBiCP A|Bi P A|C PBiCP A|Bi j 1kPBjCP A|Bj Examples There are 8 women and 11 men in a graduating class. Three are chosen to give speeches. What is the probability that all three are women? )=( ) ( ) = . Pall women 3 from 19 8 3 19 3 0 0578
Background image of page 1

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

View Full DocumentRight Arrow Icon
There are 20 pairs of similar patients. What is the probability that a new acne cream will do better in 15 or more of the pairs?
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

STAT 4105 - xam 1 Study Sheet - STAT 4105 Exam 1 Study...

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