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mathematical expectation formula meaning. The expected value or mathematical expectation EX of a random variable X is the long-run average value of X that would emerge after a very large number of observations. In more concrete terms the expectation is what you would expect the outcome of an experiment to be on average.
Linearity Of Expectation Brilliant Math Science Wiki from brilliant.org
There are bonuses to each that Im sure you can find discussed in many places mean has we well known meaning and will become more relevant if in this case you play the game a large number of times. Roughly the expectation is the average value of the random variable where each value is weighted according to its probability. We often denote the expected value as m X or m if there is no confusion.
E X is the expectation value of the continuous random variable X x is the value of the continuous random variable X P x is the probability density function Expectation of discrete random variable.
If the random variable X is the top face of a tossed fair six sided die then the probability mass function of X is. The standard deviation of a probability distribution is used to measure the variability of possible outcomes. To learn and be able to apply the properties of mathematical expectation. The average toss that is the expected value of X is.
