STAT 1450 Lecture Notes - Lecture 12: Probability Theory, Randomness, Random Variable

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Connecting chapter 12 to our current knowledge of statistics. Probability theory leads us from data collection (chapters 8 & chapter 9) to inference. The rules of probability will allow us to develop models so that we can generalize from our (properly collected) sample to our population of interest. We can trust random samples and randomized comparative experiments because of chance behavior(cid:178)chance behavior is unpredictable in the short run but has a regular and predictable pattern in the long run. Ti 83/84 apps (cid:198) prob sim (cid:198)(press any key) (cid:198) toss coins. Select +1 (this is the window key) (for your 2nd trial). Repeat selecting +1 (this is the window key) 8 more times to obtain your first 10 trials. Click on the right arrow key (to reveal the number of tales). Click on the right arrow key again (to reveal the number of heads). Repeat the last 3 steps to obtain the results for trials 61 110.

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