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AP Statistics Chapter 17 Flashcards

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5865590562Conditions for Bernoulli Trials1. There are two possible outcomes (success and failure). 2. the probability of success, p, is constant. 3. the trails are independent. Ex. Flipping a coin; rolling a die and noting whether or not it came up as a six.0
5865590563Geometric probability model- Tells us the probability for a random variable that counts the number of Bernoulli trials UNTIL THE FIRST SUCCESS - Denoted by: Geom(p)1
5865590564Mean & Standard Deviation of Geometic modelMean = 1/p SD = sqrt(q)/p2
5865590565Binomial probability model- Tells us the probabilty for a random variable that counts the NUMBER OF SUCCESSES in a fixed number of Bernoulli trials. - Denoted by: Binom(n,p)3
5865590566Mean & Standard Deviation of Binomal modelMean = np SD = sqrt(npq)4
586559056710% ConditionBernoulli trials must be independent. It is only okay to proceed if the sample is smaller than 10% of the population.5
5865590568Success/Failure condition- A binomal model is approximately Normal if we expect at least 10 successes and 10 failures: np > or equal to 10 and nq > or equal to 106
5865590569Difference between Geometric and Binomial models- Both involve Bernoulli trials, but the issues are different. - Geometric probability = trials until first success - Binomial probability = number of successes in a specified number of trials7
5865590570Difference between Normal and Binomial models- Binomial gives probabilities for a specific count - Normal gives continous random variable that can take place on any value8

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