Statistical Sciences 1024A/B Chapter Notes - Chapter 12: Random Variable, Sample Space
19 Sep 2018
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Random individual outcomes are uncertain but there is nonetheless a regular distribution of outcomes in a large number of repetitions. Probability proportion of times the outcome would occur in a very long series of repetitions. If an event occurs 70% of the time, then it fails to occur 30% of the time: always adds to 1 (100%) Events are capital letters: a, b, c. P(a) denotes that the probability of event a occurs. P(a or b) is the probability that event a or event b or both occur. P(a and b) is the probability that event a and event b both occur at the same time. If p(a) = 0, then event a cannot occur. If p(a) = 1, then event a will always occur. Sometimes called discrete probability models: can have finite or infinite sample space. Instead of adding 1 + 2 + 3 etc. values, subtract value for 0 from 1.
