statistics notes 4

Approximating a binomial distribution by a normal

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Unformatted text preview: ve to a high accuracy. Approximating a Binomial Distribution by a Normal Distribution You might have noticed that the histograms of binomial distributions that we have drawn (for example, those in Figure 1) have a very rough bell shape. In fact, in many cases it is possible to draw a normal curve that closely approximates a given binomial distribution. If X is the number of successes in a sequence of n independent Bernoulli trials with probability p of success in each trial, and if the range of values of X within three standard deviations of the mean lies entirely within the range 0 to n (the possible values of X), t...
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