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# Normal approximation to binomial distribution-2

Course Topic(s): Probability | Continuous Distributions, normal | Discrete Distributions, Bernoulli and binomial

This Java Applet demonstrates the Normal approximation to Binomial distribution. A "Begin" button on the left starts the applet. Browser is required to support Java 1.1+. Start the Applet and setting the simulation conditions, then press the "Begin" button to have the applet run in a separate window. The default values are for a binomial distribution with the parameters $$N = 8$$ (number of trials) and $$p = 0.5$$ (probability of success on each trial). Both parameters may be changed by the user. This applet calculates the probability of obtaining a given number of successes. For example, to calculate the probability of exactly 6 successes out of 8 trials with $$p = 0.50$$, enter 6 in both the "from" and "to" fields and hit the "Enter" key. The actual binomial probability is $$0.1094$$ and the approximation based on the normal distribution is $$0.1059$$. Note that the normal approximation computes the area between 5.5 and 6.5 since the probability of getting a value of exactly 6 in a continuous distribution is nil. Similarly, to approximate the probability of from 0 to 6 successes, you enter 0 in the "from" field and 6 in the "to" field. The area from below 6.5 is computed.

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Subject classification(s): Univariate Distributions | Probability | Statistics and Probability

Creator(s): David M. Lane

Contributor(s): David Scott, Jan Benway, Joan Lu, Zhihua Tang, Al Shea, Mickey Quinones, Keith Baggerly, Joe Austin, Michael Swartz and Richard Swartz

This resource was cataloged by Ivo Dinov

Publisher:
OnlineStatBook

This review was published on September 18, 2012