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Chapter 5: Probability Section 5.1: Probability Rules
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Chapters 1-4 cover descriptive statistics. Chapters 9-12 (and beyond) cover inferential statistics. Inferential statistics uses data to answer questions about the population parameters while acknowledging randomness affecting our data. Probability is the foundation of inferential stats.
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Question: Flip a “fair” coin, P(H)=0.5, 100 times. How many heads will you get? A.49 B.50 C.51 D.Anywhere from 0 to 100.
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Using StatCrunch
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Classical vs. Empirical vs. Subjective method for determining probabilities Statement: You believe you have a 85% chance of passing this course. Question: Which method of probability was used to get “85%”? A.Classical B.Empirical C.Subjective
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Statement: Typically, a student has an 85% chance of passing this course. Question: Which method of probability was used to get “85%”? A.Classical B.Empirical C.Subjective
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Statement: Toss two fair coins and the probability of getting two heads is 0.25. Question: What method was used to calculate 0.25? A.Classical B.Empirical C.Subjective
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Statement: The probability of a baby being a boy is just over 0.51. Question: Which method was used to determine 0.51? A.Classical B.Empirical C.Subjective
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Use the tree diagram to determine the probability of getting 2 heads out of 3 coin tosses.
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An ugly example of a tree diagram: Determine the probability of getting a 9 from rolling a pair of fair dice.
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List out the possible ways to roll a pair of dice and their sum: Die A→ B↓ 123456 1234567 2345678 3456789 45678910 56789 11 6789101112
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