Statistical Sciences 1023A/B Lecture 17: L17 Probability

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A measure of long-run relative frequency of an event occurring, identical repeated trials (if you were to do something repeatedly) Counts on vertical axis (relative frequency 0 to 1) Fair die or dice - know that all outcomes are equally likely. Observe relative frequency (proportion) over many repetitions of procedure a. b. Based on 20,000 rolls = about 1/6 odds of landing on each face of the dice. Summarizes possible outcomes for procedure + frequency at which they occur. Probability (y axis) and number of spots on dice face (x axis) Males normally wear a tie and females do not - knowing sex of individuals. Outcomes are independent of the previous and future times. Knowledge of one event doesn"t influence probability of other events. Have one boy doesn"t mean next child will also be a boy. Probabilities are always expressed as values in range of 0 to 1. 0. P(x) = 0, means that outcome x never happens.

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