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Unformatted text preview: Expected Value: Variance: Standard Deviation: Characteristics of the Binomial Random Variable: 1. The experiment consists of “n” identical trials . 2. There are only two possible outcomes on each trial. We refer to one outcome as a success (S) and the other as a failure (F). 3. The probability of a success remains the same from trial to trial ; it is denoted by “p”. The probability of failure, therefore, is “1-p”. 4. The trials are independent . 5. The binomial random variable “X” is the number of successes in “n” trials. Binomial Probability Function: x = 0, 1, 2,. .., n AEM 2100, Spring 2011 WEEK IN REVIEW February 28 – March 3 n = the number of trials p = the probability of success on one trial x = the number of successes in “n” trials Expected Value, Variance, and Standard Deviation of a Binomial Random Variable: Expected Value: Variance: Standard Deviation:...
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- Spring '08
- Probability theory, Discrete probability distribution, binomial random variable