GE 331-Lecture 2

# GE 331-Lecture 2 - Random experiments Random experiment: is...

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IE 300/GE 331 Lecture 2 Negar Kiyavash, UIUC 1 Random experiments Random experiment: is a procedure whose outcome is uncertain and cannot be predicted in advance Examples: Flip a coin Measure the life of an electrical device Monitor the number of phone calls to a service center in an hour

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IE 300/GE 331 Lecture 2 Negar Kiyavash, UIUC 2 Sample space Sample space: the set of all possible outcomes of a random experiment Examples: Flip a coin twice: S={HH,HT,TH,TT} Measure the life of an electrical device: S=[0,∞) Monitor the number of phone calls to a service center in an hour: S={0,1,2,…}
IE 300/GE 331 Lecture 2 Negar Kiyavash, UIUC 3 Sample space Discrete : consists of a finite or countable infinite number of outcomes Continuous : contains an finite or infinite interval or real numbers Examples: Flip a coin twice: discrete Measure the life of an electrical device: continuous Monitor the number of phone calls to a service center in an hour: discrete

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IE 300/GE 331 Lecture 2 Negar Kiyavash, UIUC 4 Events Event: is a subset of the sample space Examples: Flip a coin twice and obtain at least one head: A={HH,HT,TH} The life of the electrical device is between 1000 to 5000 hours: A=(1000,5000) There are more than 15 calls to the service center: A={16,17,…}
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## This note was uploaded on 09/08/2009 for the course GE 331 taught by Professor Negarkayavash during the Spring '09 term at University of Illinois at Urbana–Champaign.

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GE 331-Lecture 2 - Random experiments Random experiment: is...

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