MATH 10041 Lecture Notes - Lecture 11: Random Number Table, Empirical Probability, Randomness
27 Feb 2019
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Document Summary
What is randomness: having no predictable pattern, people are not good at identifying truly random samples or random experiments, usually a computer or some other randomizing device, such as a random number table, is used to simulate randomness. Theoretical probabilities: long-run relative frequencies, the relative frequency at which an event occurs after infinitely many repetitions, example: if we were to flip a coin infinitely many times, exactly 50% of the flips would be heads. Empirical probabilities: relative frequencies based on an experiment or an observation of a real-life process, example: i toss a coin 10 times and get 4 heads, the empirical probability of getting heads is 4/10 = 0. 4 or 40% If i toss a coin 10 times and get 3 heads, the empirical probability of heads = . 30 or 30%
