8.2 The Geometric Distribution

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Presentation transcript:

8.2 The Geometric Distribution

8.2 The Geometric Distribution Definition: “The Geometric Setting” : A situation is said to be a “GEOMETRIC SETTING”, if the following four conditions are met: Each observation is one of TWO possibilities - either a success or failure. All observations are INDEPENDENT. The probability of success (p), is the SAME for each observation. The variable of interest is the number of trials required to obtain the FIRST success.

8.2 The Geometric Distribution Example 8.15: ROLL A DIE Example 8.16: DRAW AN ACE

8.2 The Geometric Distribution

8.2 The Geometric Distribution The Geometric Expected Value, Variance and Standard Deviation Example 8.18: ARCADE GAME

8.2 The Geometric Distribution

8.2 The Geometric Distribution Example 8.20: SHOW ME THE MONEY $1 = {01, 02, 03, 04, 05} Empty = {00, 06 through 99} 23 33 06 43 59 40 08 61 69 25 85 11 73 60 71 15 68 91 42 27 06 56 51 43 74 13 35 24 93 67 81 98 28 72 09 36 75 95 89 84 68 28 82 29 13 18 63 84 43 03 Each student simulate a set until you have a success. Let’s calculate the expected value and standard deviation.