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AP Statistics (Chapter 17) Flashcards

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9391455897Conditions for Bernoulli Trials1. There are two possible outcomes (success and failure). 2. the probability of success, p, is constant. 3. the trials are independent. Ex. Flipping a coin; rolling a die and noting whether or not it came up as a six.0
9391455898Geometric 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
9391455904Mean & Standard Deviation of Geometic modelMean = 1/p SD = sqrt(q)/p2
9391455899Binomial 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
9391455905Mean & Standard Deviation of Binomal modelMean = np SD = sqrt(npq)4
939145590010% ConditionBernoulli trials must be independent. It is only okay to proceed if the sample is smaller than 10% of the population.5
9391455901Success/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
9391455902Difference 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
9391455903Difference 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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