MATH 302 Chapter Notes - Chapter 1: Random Variable, Sample Space
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Random variable is a function, that takes in values, that is has a domain of the sample space of the experiment and a range, that is gives out values, that is a subset of the real numbers. Examples: the experiment of rolling a dice is random, the domain is from 1- 6 and the range is also from 1-6, a subset of real numbers. In a way, essentially all experiments, i guess, that we will come across at this stage, can be modelled by random variables. Here x is the random variable, the function, the generator, the process, the machine that generates the value. Y is the output generated and s is the outcome or the input. Like f(x) = y, but in probabilistic terms. 13. 2) x = 0, p(x) = 3/8 * 2/7 = 6/56 x = 1, p(x) = 3/8 * 5/7 * 2 = 30/56 x = 2, p(x) = 5/8 * 4/7 = 20/56.
