# Expected value statistics formula

Expected value (EV) is a concept employed in statistics to help decide how Knowing how to calculate expected value can be useful in numerical statistics, in. You need to read the statistical calculation of the EV and make sense of it in real. Simple explanations for the most common types of expected value formula. Includes video. Hundreds of statistics articles and vidoes. Free help. The formula for the expected value is relatively easy to compute and involves several multiplications and additions. Pascal, being a mathematician, was provoked and determined to solve the problem once and for all. Mathematically, the expected value formula for a series of binomial trials is: Add the two values together: Set this number aside for a moment. Expected value for a discrete random variable. Expected Value for Continuous Random Variables The expected value of a random variable is just the mean of the random variable. It is first assumed that X has a density f X x. One example sequence of ten rolls of the die is 2, 3, 1, 2, 5, 6, 2, 2, 2, 6, which has the average of 3. The probability of the outcomes usually depends on many external factors. If we use the probability mass function and summation notation, then we can more compactly write this formula as follows, where the summation is taken over the index i:. According to this formula, we take each observed X value and multiply it by its respective probability. Flip a coin three times and let X be the number of heads. Der bedingte Erwartungswert ist eine Verallgemeinerung des Erwartungswertes auf den Fall, dass Gewisse Ausgänge des Zufallsexperiments bereits bekannt sind.