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215 Handout_5

# 215 Handout_5 - Handout#5 Summaries of Chapter 6 7 and 8...

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Handout #5: Summaries of Chapter 6, 7, and 8 STA215: Introductory Applied Statistics Dr. Jann-Huei Jinn 1. Two-Way Contingency Table : It is used to study the relationship between two categorical variables. Example (Table 6.1) Ever Divorced ? Yes No Total Yes 238 247 485 Smoke ? No 374 810 1184 Total 612 1057 1669 Graph : A side by side Bar graph can also be used to display the realtionship. (See Figure 6.1) 2. Two Basic Probability Rules : Rule 1 : The sum of all the probabilities in an random experiment is 1. Rule 2 : Probability of any event is between 0 and 1. Eaxmples (Exercises 7.2, 7.5, 7,6, 7.21) 3. Random Variable : a random variable asigns a number to each outcome of a random experiment, or, equivalently, a random variable assigns a number to each unit in a population. Example : Flip a fair coin 3 times (or tossing 3 fair coins once) is a random experiment Sample space : the collection of all 8 possible outcomes S={(HHH), (HHT), (HTH), (THH), (HTT), (THT),(TTH),(TTT)} Define a rnadom variable X as the number of heads observed. The possible values of this r.v. X are x=0,1,2,3

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215 Handout_5 - Handout#5 Summaries of Chapter 6 7 and 8...

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