STA257W3_slides.pdf - STA257 Probability and Statistics 1 Instructor Katherine Daignault Department of Statistical Sciences University of Toronto Week 3

# STA257W3_slides.pdf - STA257 Probability and Statistics 1...

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STA257: Probability and Statistics 1 Instructor: Katherine Daignault Department of Statistical Sciences University of Toronto Week 3
Outline Random Variables - Discrete (Chapter 2.1) Quick Calculus Review Discrete Random Variables Bernoulli Random Variables Binomial Distribution Geometric Distribution Negative Binomial Distribution Hypergeometric Distribution Poisson Distribution
Outline Random Variables - Discrete (Chapter 2.1) Quick Calculus Review Discrete Random Variables Bernoulli Random Variables Binomial Distribution Geometric Distribution Negative Binomial Distribution Hypergeometric Distribution Poisson Distribution
Calculus for this week I Starting from today, we will be using material that has been taught in Calculus 1 and 2 courses. I I will quickly refresh what you should be familiar with as you need them. I This week, you will need to step functions, limits, how to work with a series, as well as the Geometric series.
Working with a Series I
Geometric Series I One series that we will be using today is the Geometric series, or rather a lemma related to it. I A Geometric series is any series of the form X n =1 az n - 1 = X n =0 az n I Lemma: If | z | < 1 then k = l z k = z l 1 - z I i.e. the Geometric series converges when | z | < 1 to the value above
Outline Random Variables - Discrete (Chapter 2.1) Quick Calculus Review Discrete Random Variables Bernoulli Random Variables Binomial Distribution Geometric Distribution Negative Binomial Distribution Hypergeometric Distribution Poisson Distribution

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• Summer '08