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Unformatted text preview: 2.2. CONTINUOUS DENSITY FUNCTIONS 55 This describes an experiment of dropping a long straw at random on a table on which a circle is drawn. Write a program to simulate this experiment 10000 times and estimate the probability that the length of the chord is greater than √ 3. How does your estimate compare with the results of Example 2.6? 2.2 Continuous Density Functions In the previous section we have seen how to simulate experiments with a whole continuum of possible outcomes and have gained some experience in thinking about such experiments. Now we turn to the general problem of assigning probabilities to the outcomes and events in such experiments. We shall restrict our attention here to those experiments whose sample space can be taken as a suitably chosen subset of the line, the plane, or some other Euclidean space. We begin with some simple examples. Spinners Example 2.7 The spinner experiment described in Example 2.1 has the interval [0 , 1) as the set of possible outcomes. We would like to construct a probability...
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This note was uploaded on 09/15/2009 for the course SCF scf taught by Professor Scf during the Spring '09 term at Indian Institute Of Management, Ahmedabad.
- Spring '09