# Formula expected value

The expected value formula changes a little if you have a series of trials (for example, a series of coin tosses). When you have a series of trials. Expected Value for a Discrete Random Variable. E(X)=\sum x_i p_i. x_i= value of the i th outcome p_i = probability of the i th outcome. According to this formula. The expected value (or mean) of X, where X is a discrete random variable, is a To find E[ f(X) ], where f(X) is a function of X, use the following formula: E[ f(X) ].
Pascal, being a mathematician, was provoked and determined to solve the problem once and for all. The convergence is relatively slow: They only informed a small circle of mutual scientific friends in Paris about it. In the foreword to his book, Huygens wrote: Suppose random variable X can take value x 1 with probability p 1 , value x 2 with probability p 2 , and so on, up to value x k with probability p k. This last identity is an instance of what, in a non-probabilistic setting, has been called the layer cake representation. Science, Tech, Math Humanities Arts, Music, Recreation Resources About Us Advertise Privacy Policy Careers Contact Terms of Use. The odds that you lose are out of March 23rd, by Andale. This result can be a useful computational shortcut. Pascal, being a mathematician, was provoked and determined to solve the problem once and for all. Expected values for binomial random variables i. The definition of conditional expectation would use inequalities, density functions, and integrals to replace equalities, mass functions, and summations, respectively. This last identity is an instance of what, in a non-probabilistic setting, has been called the layer cake representation. The expected value of this scenario is:. Home Tables Binomial Distribution Table F Table PPMC Critical Values T-Distribution Table One Tail T-Distribution Table Two Tails Chi Squared Table Right Tail Z-Table Left of Curve Z-table Right of Curve Probability and Statistics Statistics Basics Probability Regression Analysis Hypothesis Testing Normal Distributions:

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