Biology 2244A/B Chapter Notes - Chapter 8: Binomial Distribution, Continuity Correction, Standard Deviation

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As the number of observations n gets larger, the binomial distribution gets closer to a normal distribution: when n is large, we can use normal probability calculations to approximate binomial probabilities. For more accurate results, you can use a continuity correction (to apply the continuity correction in a. Ex. continuous equivalent to a 1250 count is the interval between 1249. 5 and 1250. 5: useful when the sample size is small. X is a count of the occurrences of some categorical outcome in a fixed number of observations. If the number of observations is n, then the sample proportion is. Sample counts & sample proportions are common statistics when dealing with categorical data. Categorical variable can take any of a finite number of possible outcomes. Distribution of the count x od a random success event occurring within n observations is binomial when the probability, p of that event is constant over all observations and successive observations are independent.

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