MAT 2379 Lecture Notes - Lecture 1: Sample Space, Asso, Almost Surely

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Statistics can refer to the mathematical techniques used to analyze data. Usually the data comes from a random experiment. A random experiment is an experiment whose outcome is determined by chance and cannot be predicted with certainty. The sample space of a random experiment is the set of all possible outcomes and is denoted by s. Give the corresponding sample space. (i) flip a coin. (ii) the roll of a die. (iii) diagnose h1n1 in a person. S = {1, 2, 3, 4, 5, 6} S = {sick, healthy} (iv) survival time (in months) after the diagnosis of a particular disease. An event is a sub-collection of possible outcomes of a random experi- ment. Suppose that there are 10 molecules in a cell and that we observe the number of molecules remaining in the cell after 15 minutes. The probability of an event is a numeric value which is associated with the chance that the event will take place.

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