STAB22H3 Chapter Notes - Chapter 14: Empirical Probability, Sample Space, Randomness
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STAB22H3 Full Course Notes
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Trial each occasion upon which we observe a random phenomenon. The trial"s outcome is the value of the random phenomenon at each trial. Event a combination of outcomes (i. e. treating a yellow light like a red or green light), but individual outcomes not combined with anything else are also events. Sample space the collection of all possible outcomes. Empirical probability repeatedly observing the event"s outcome. For an event (a), the relative frequency of (a) = # of times a occurs/total # of trials. Law of averages the belief that an outcome of a random event that hasn"t occurred in many trials is due to occur. The lln says nothing about short-term behaviour. Sequences of random events don"t compensate in the short run and don"t need to do so to get back to the right long-run probability. When outcomes are equally likely, their probability is easy to compute.
