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**Unformatted text preview: **Finite Finite • Each element of the sample space can be arranged and counted one at a time. • You will eventually count all the elements in the sample space. Example 1: Tossing two coins S = {(H,H), (H,T), (T,H), (T,T)}. Types of Countable Sample Spaces -Finite Example 2 : Rolling a pair of dice S = 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 Types of Countable Sample Spaces – Countably Infinite Countably infinite • Each element of the sample space can be arranged and counted one at a time, but • You will never finish counting the elements of the sample space. Example 3 : Observing the number of hits on YouTube a new music video gets. S = {0,1,2,3,4,…} Uncountable Samples Spaces Uncountable – possible outcomes cannot be arranged and counted. Example 4: Observing the final grades (in percentages) of students in resecon212. S = [0, 100]...

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- Fall '17
- Sheila Mammen