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12 Cards in this Set
- Front
- Back
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A ____ consists of n independent trialas of the same chance process, each resulting in a success or failure, with a probability of success p on each trial.
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binomial setting
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The count of X successes in a binomial setting is a ____. Its probability distribution is a ____.
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binomial random variable
binomial distribution |
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The ____ counts the number of ways k successes can be arranged among n trials.
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binomial coefficient
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What is the calculation for mean of a binomial random variable?
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np
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The binomial distribution with n trials and probability of p success gives a good approximation to the count of successes in an SRS of size n from a large population containing proportion p of successes, This is true as long as sample size n is no more than ____ of the population size N.
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10%
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A ____ consists of repeated trials of the same chance process in which each trial results in a success or failure, trials are independent, each trial has the same probability p of success, and the goal is to count the number of trials until the first success.
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Geometric setting
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If Y = the the number of trials required to obtain the first success, then Y is a ____. Its probability is called a ____.
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geometric random variable
geometric distribution |
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What is the formula for a geometric random variable X?
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X= 1/p
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The number of times the outcome of interest occurs in a fixed number of repetitions is called a ____.
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binomial random variable
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The number of repetitions it takes for the outcome of interest to occur is a ____.
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geometric random variable
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What is BINS? What does it stand for ?
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Condition for a binomial setting:
Binary - result is classified as a success or failure Independent Number - number of trials must be fixed in advance Success - the probability p of success must be the same |
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What is BITS? What does it stand for?
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Condition for a geometric setting:
Binary - result is classified as a success or failure Independent Trials - goal is to count the number of trials until first success Success - the probability p of success must be the same |
