STAT1051_chapter4_lesson1-1

STAT1051_chapter4_lesson1-1 - Chapter4 Probability Contents

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Chapter 4 Probability
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Contents Introduction and Discussion Basic Definitions Counting Techniques Unions and Intersections  Mutually Exclusive Events Additive Rule Conditional Probability Independence
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PROBABILITY Study of randomness and uncertainty Numerical Measure of Chance We make statements like there is a 60%  chance that it will rain tonight. 
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Typical Probability Questions: What is the probability of getting a head in a toss  of a coin? What is the probability that it will rain tomorrow? What is the chance that the next U.S president  will be a Democrat? What is the probability of picking a red marble  from a box containing  5 red and 7 blue marbles?
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Types of Probability EMPIRICAL OR EXPERIMENTAL  PROBABILITY SUBJECTIVE PROBABILITY THEORETICAL PROBABILITY Though all these are questions on probability  not all of them are of the same type.
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Empirical or Experimental Probability P( Event )   = Relative frequency of the event                     Number of occurrences of an event       Number of times experiment is repeated =
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Example 1.0 Q : A student was picked randomly from a large  class of 300 students. What is the probability  that he got an A in that course? A : Suppose the instructor gave A to 84 students. P(getting an A in the course) = Relative frequency of A’s in the class) = 84/300 =0.28
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Example 1.1 Toss the coin 100 times and record the  number of heads. Let n(H) = number of heads = 52; 
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STAT1051_chapter4_lesson1-1 - Chapter4 Probability Contents

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