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Lecture 02-probability - 1036 Probability Statistics...

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Prob. & Stat. Lecture02 - probability ([email protected]) 2-1 1036: Probability & Statistics 1036: Probability & 1036: Probability & Statistics Statistics Lecture 2 Lecture 2 -- -- Probability Probability
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Prob. & Stat. Lecture02 - probability ([email protected]) 2-2 Sample Space The set of all possible outcomes of a statistical experiment is called the sample space and is represented by the symbol S Each outcome in S is called an element or a member of the sample space, or called sample point . In most cases, the outcomes will depend on chance and, therefore, cannot be predicted with certainty. The sample space may have infinite elements – Example: Consider the experiment of tossing a die If we are interested in number that shows on the top face, Î S 1 = {1,2,3,4,5,6} If we are interested whether the number is even or odd Î S 2 = {even, odd}
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Prob. & Stat. Lecture02 - probability ([email protected]) 2-3 Tree Diagram For small or finite number of elements, tree diagram is used to list the elements of the sample space systematically For examples: D: defective, N: non-defective 3 random selected items H: head, T: tails Conditional flip a coin twice, or flip a coin once followed by tossing a die
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