Statistical Sciences 2244A/B Lecture Notes - Lecture 8: Sample Space, Randomness, Random Variable
17 Jan 2019
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Then the proportion (occurrence in multiple trials) of heads then is: Randomness: we need randomness in sampling (e. g. srs) and in experimental design (e. g. Randomness: we need randomness in sampling (e. g. srs) and in experimental design (e. g. randomizing individuals to different treatment groups, or specific experimental conditions applied to each subject). Outcome of a trial can be (a) heads or (b) tails. We cannot precisely determine what the exact outcome will be for each trial. There is randomness associated with outcome of each trial. The occurrence of heads in multiple tosses of a coin can be measured. I. e. toss the coin n times and let the number of heads be hn. Pn represents the likelihood of getting a specific outcome in multiple trials. Random phenomenon: when individual outcomes are uncertain, but there is still a regular distribution of outcomes in a large number of repetition.
