Biology 2244A/B Study Guide - Midterm Guide: Confidence Interval, Binomial Distribution, Continuity Correction
24 Dec 2018
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The formula for binomial probabilities becomes more challenging as the number n of observations increasesyou can use software or a graphing calculator to handle problems for which applying the formula is not practical. In some situations, there is another alternative: as the number of observations n gets larger, the binomial distribution gets close to a normal distribution. When n is large, we can use normal probability calculations to approximate binomial probabilities binomial distribution with n observations and success probability p. Normal approximation for binomial distributions - suppose that a count x has the. When n is large, the distribution of x is approximately normal, n( np, np(1 p)) As a rule of thumb, we will use the normal approximation when n is so large that. The normal approximation is easy to remember because it says that x is normal with its np > 10 and n (1 - p ) > 10 binomial mean and standard deviation.
