Lecture1_Chap2Pt1_1

Lecture1_Chap2Pt1_1 - Chapter2Part1 Probability Examples...

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    Chapter 2 Part 1 Introduction to Probability
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    Probability The study of everyday life. Measure of one’s belief in the  occurrence of a future event.
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    Examples The probability of a new drug lessening pain  caused by arthritis. The probability that the last digit of a student’s  id. number is a seven. The probability that the last digit of two  students’ id. numbers differ by more than one. The probability that the first time a head  appears on repeated coin flips is the sixth flip.
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    Experiments and events We call the actual random phenomenon  an  experiment .   We call the possible outcomes of the  experiment  events . We call the set of all possible outcomes  tha  sample space , denoted by S.
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    Examples An experiment is getting dealt 5 cards.   A three of a kind is an event. An experiment is selecting s student at  random. An event is the last digit of their  id number is a seven. A student taking a test an experiment.   Passing the exam is an event.
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    Big idea of probability Much of probability is the discussion  and manipulation of  sets , or collections  of events.
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    Example Experiment:  Roll a six-sided die and record  the number on which it lands.  Consider the  following sets: A1 = The set of all even numbers. A2 = The set of all multiples of 3. A3 = The set including only the number 4. 
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    In Set Notation A1 ={ x  is an even number between  2 and 6} = {2, 4, 6} A2 = {3,6} A3 = {4} S= {1,2,3,4,5,6}
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    Note! Simple events  are events that cannot  be reduced any further. A1 represents an event.  That is it 
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This note was uploaded on 10/01/2009 for the course STA 505 taught by Professor Lisamarano during the Spring '09 term at West Chester.

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Lecture1_Chap2Pt1_1 - Chapter2Part1 Probability Examples...

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