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# Week7 - STA 2023 c B.Presnell D.Wackerly Lecture 11 Thought...

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STA 2023 c B.Presnell & D.Wackerly - Lecture 11 133 Thought: “I personally think we developed language because of our deep need to complain” - Lily Tomlin Assignments : Today : pages 210-11, 215–226 For tomorrow: EXAMS RETURNED Exercises 5.15, 5.16, 5.19, 5.20, For Wednesday: Read more on pages 198–208 For Thursday: Exercises 5.24, 5.25, 5.31, 5.36–37, 5.39–40

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STA 2023 c B.Presnell & D.Wackerly - Lecture 11 134 Last Time : The Binomial Probability Distribution Binomial Experiment p. 179 If number of trials, : (p. 1183) for Mean (p. 185) : Variance (p. 185) : Tables : Contain for 0 1 2 3 . . . . . . . . . . k k+1 n-1 n
STA 2023 c B.Presnell & D.Wackerly - Lecture 11 135 Ex. Claimed Psychic. Five cards shuffled, one chosen. Psychic tries to identify card (without looking). Do this 20 times and record number of correct identifications. Assume 20 trials are indep. If the psychic is guessing, what is correct ? correct Let # correct choices in 20 trys What is a “success” in this case? is a binomial random variable with and . and .

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STA 2023 c B.Presnell & D.Wackerly - Lecture 11 136 What is prob. psychic is correct “6 or more times”? 0 1 2 3 . . . . . . . . . . 20 19 6 5 (Table II(h), p. 772) Discrete Random Variables Countable number of distinct values Look for “jumps” between the possible values. Assign a “chunk” of probability to each distinct value.
STA 2023 c B.Presnell & D.Wackerly - Lecture 11 137 Continuous Random Variables Take on values associated with points on one or more line intervals No gaps between values : Time, Height, Pressure, etc.

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