Z-Table, Binomial Distribution

Feb 3rd, 2012
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Head Shot on What is Binomial Distribution? Binomial variate? Mean, Standard deviation? Binomial Sample Problems What is Z - Value? How to find a Z Value? Normal Distribution Problems?

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Binomial Distribution Binomial Experiment-Abinomial experiment(also known as aBernoulli trial) is astatistical experimentthat has the following properties:The experiment consists ofnrepeated trials.Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.The probability of success, denoted byP, is the same on every trial.The trials areindependent; that is, the outcome on one trial does not affect the outcome on other trials.Consider the following statistical experiment. You flip a coin 2 times and count the number of times the coin lands on heads. This is a binomial experiment because:The experiment consists of repeated trials. We flip a coin 2 times.Each trial can result in just two possible outcomes - heads or tails.The probability of success is constant - 0.5 on every trial.The trials are independent; that is, getting heads on one trial does not affect whether we get heads on other trials.NotationThe following notation is helpful, when we talk about binomial probability.k: The number of successes that result from the binomial experiment.n: The number of trials in the binomial experiment.P: The probability of success on an individual trial.Q: The probability of failure on an individual trial. (This is equal to 1 -P)Binomial DistributionAbinomial random variableis the number of successesxinnrepeated trials of a binomial experiment. Theprobability distributionof a binomial ran

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