STAT 2080 Chapter Notes -Sampling Distribution, Karl Pearson, Mathematical Notation
6 Dec 2012
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In a single trial we cannot predict the outcome. However, there is a pattern that emerges in the long run , i. e. over many repetitions. A phenomenon is random if any individual outcome is uncertain, but there is a regular distribution of outcomes from many repetitions. Tossing a coin 1,000 times and recording the top face on each toss. 1,000 students taking this course and recording each student"s grade. We often use mathematical models to describe the distribution outcomes from random events. The probability of any outcome of a random event is the long run frequency that the outcome would occur in a long series of repetitions. To study random events we usually need outcomes from many independent trials. The mathematical model is based on the empirical data, values observed in real-life (through experiments or observational studies) The origin of developing mathematical models for random phenomenon comes out of gambling and games of chance (roulette, poker, etc. ).
