Lecture Notes 5

# Lecture Notes 5 - Handout 5. Probability: Chapter 4.1- 4.4...

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1 Handout 5. Probability: Chapter 4.1- 4.4 •A n experiment is the process by which an observation (or measurement) is obtained. Example: Experiment 1: Toss a die, Experiment 2:Toss two coins, Experiment 3: record the lifetime of a light bulb •A simple event is the outcome that is observed on a single repetition of the experiment. – One and only one simple event can occur when the experiment is performed. –A simple event is denoted by e with a subscript. – Each simple event will be assigned a probability, measuring “how often” it occurs. • The set of all simple events (outcomes) of an experiment is called the sample space, S. An event is a collection of one or more simple events. Experiment 2 -toss 2 coins. Sample space : S={HH,HT,TH,TT}. Event A- “get 2H” –simple event, A= {HH}, B=“get at least one H” –not a simple event, B={HT,TH,HH} Sample spaces from Exp1 and Exp2 have a finite number of elements –finite sample spaces. Experiment 3 – Testing products as they come off an assembly line until we observe the defective product S= { D,GD,GGD,…. .},where D- defective product ,G-non defective - has an infinite number of elements ,but we can arrange them in a sequence (infinite countable) Sample spaces from Exp1,Exp2 ,Exp3 – discrete sample spaces Experiment 4- record the lifetime of a light bulb, Let t –time ,then S={t:t >=0} - has an infinite number of

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## This note was uploaded on 04/09/2008 for the course STAT 240 taught by Professor Jeneralczuk during the Spring '08 term at UMass (Amherst).

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Lecture Notes 5 - Handout 5. Probability: Chapter 4.1- 4.4...

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