STAT 119 Chapter Notes - Chapter 5–7: Bayes Estimator, Standard Deviation, Geometric Probability
Document Summary
We can hope to understand characteristics of their long-run behavior. For any random phenomenon, each attempt (trial) generates an outcome. Event - refer to outcomes or combinations of outcomes. Sample space - collection of all possible outcomes. Independence - outcome of one trial doesn"t influence or change the outcome of another. If the vents are independent, then as the number of trials increases, the long-run relative frequency of any outcome gets closer and closer to a single value. Probability of that event - value that they approach. Empirical probability - based on repeatedly observing the event"s outcome. Relative frequency of an event"s occurrence as the probability of an event. Model-based (theoretical) probability) (theoretical) probability - equally like outcomes. P(a) = # of outcomes in a / total # of outcomes possible. Count all the outcomes in the event divided by the total number of possible outcomes. Number of outcomes in the event divided by the total number of outcomes.
