Textbook Notes (363,566)
Statistics (133)
STAB22H3 (130)
Chapter 14

# Chapter 14.docx

2 Pages
143 Views

School
University of Toronto Scarborough
Department
Statistics
Course
STAB22H3
Professor
Mahinda Samarakoon
Semester
Winter

Description
Stats: Data and Models – Canadian Edition Chapter 14 – From Randomness to Probability Empirically Probability - Trial – each occasion upon which we observe a random phenomenon - The trial’s outcome is the value of the random phenomenon at each trial - Event – a combination of outcomes (i.e. treating a yellow light like a red or green light), but individual outcomes not combined with anything else are also events - Sample space – the collection of all possible outcomes The Law of Large Numbers - If we assume events are independent, the outcome of one trial doesn’t affect the outcomes of others - (LLN) as the number of trials increases, the long-run relative frequency of repeated events gets closer and closer to a single value, called the probability of an event - Empirical probability – repeatedly observing the event’s outcome - For an event (A), the relative frequency of (A) = # of times A occurs/total # of trials The Nonexistent Law of Averages - Law of Averages – the belief that an outcome of a random event that hasn’t occurred in many trials is “due” to occur - The LLN says nothing about short-term behaviour - Sequences of random events don’t compensate in the short run and don’t need to do so to get back to the right long-run probability Theoretical Probability - When outcomes are equally likely, their probability is easy to compute - The probability of the event is the number of outcomes in the event divided by the total number of possible outcomes o P(A) = # outcomes in A/ # of possible outcomes Personal Probability - Personal/subjective proba
More Less

Related notes for STAB22H3

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.