AP+Statistics+Chapter+8+Section+2

AP+Statistics+Chapter+8+Section+2 - AP Statistics Chapter 8...

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AP Statistics Chapter 8 Section 2
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If you want to know the number of successes in a fixed number of trials, then we have a binomial setting. If you want to know how many trials it will take to observe a particular event, then we have a geometric setting .
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Vocab Geometric Setting Geometric distribution Mean or expected value of a geometric random variable
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Geometric Setting 1. “Success” or “Failure” 2. The probability of success is the same for each observation 3. All observations are independent 4. The variable of interest is the number of trials needed to obtain the first success
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An experiment consists of rolling a single die. The random variable is defined as X = the number of trials until a 3 occurs. Geometric? 1.“3” or “not a three” 2.1/6 probability of rolling a 3 each time 3.Independent events 4. Variable of interest – number of rolls until a 3 occurs Yes, Geometric distribution
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Rule for calculating Geometric Probabilities If X has a geometric distribution with p probability
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AP+Statistics+Chapter+8+Section+2 - AP Statistics Chapter 8...

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