defining probability

37
Farrokh Alemi Ph.D. Defining Probability

Upload: ting

Post on 15-Feb-2016

26 views

Category:

Documents


0 download

DESCRIPTION

Defining Probability. Farrokh Alemi Ph.D. Definition. Element Event. Definition. Universe of possibilities Venn diagram. What is probability?. All possible events . What is probability?. All possible events . Event A. What is probability?. Probability of A = . What is probability?. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Defining Probability

Farrokh Alemi Ph.D.Defining Probability

Page 2: Defining Probability
Page 3: Defining Probability

ElementEvent

Definition

Page 4: Defining Probability

Universe of possibilitiesVenn diagram

Definition

Page 5: Defining Probability

What is probability?All possible

events

Page 6: Defining Probability

What is probability?All possible

events

Event A

Page 7: Defining Probability

What is probability?

Probability of A =

Page 8: Defining Probability

What is probability?

Page 9: Defining Probability

What is probability?

Page 10: Defining Probability

Law of Large Numbers

Page 11: Defining Probability

Law of Large Numbers

Page 12: Defining Probability

Law of Large Numbers

Page 13: Defining Probability

Law of Large Numbers

Page 14: Defining Probability

Law of Large Numbers

Page 15: Defining Probability

Law of Large Numbers

More Observations

Less Error

Page 16: Defining Probability

Range of Probability

Page 17: Defining Probability

Odds

Page 18: Defining Probability

Odds

Page 19: Defining Probability

Odds

Page 20: Defining Probability

Odds

Page 21: Defining Probability

Odds

Page 22: Defining Probability

Odds

Page 23: Defining Probability

Odds

Page 24: Defining Probability

Odds

Page 25: Defining Probability

Odds

Page 26: Defining Probability

Probability as Opinion

Page 27: Defining Probability

Probability as Opinion

Page 28: Defining Probability

Axiomatic Definition of Probability

Page 29: Defining Probability

1. At least one event must happen

Axiomatic Definition of Probability

Page 30: Defining Probability

2. Probability is greater than or equal to zero

Axiomatic Definition of Probability

Page 31: Defining Probability

3. P(complement) is one minus P(Event)

Axiomatic Definition of Probability

Page 32: Defining Probability

4. P(two mutually exclusive events) is sum of each

Axiomatic Definition of Probability

Page 33: Defining Probability

Opinions Like Probabilities

Page 34: Defining Probability

On a scale from 0 to 100, where 100 is for sure, how certain are you that medication errors will occur in next visit?

Probability As Strength of Belief

Page 35: Defining Probability

Context for Study of Belief

Page 36: Defining Probability

Probability is the count of event divided by count of all possible events

Take Home Lesson

Page 37: Defining Probability

In examining wrong side surgeries in our hospital, what are the elements, events and the universe of possibilities? Draw the Venn Diagram

Do One