<P> In probability theory , the expected value of a random variable , intuitively , is the long - run average value of repetitions of the experiment it represents . For example , the expected value in rolling a six - sided dice is 3.5 , because the average of all the numbers that come up in an extremely large number of rolls is close to 3.5 . Less roughly , the law of large numbers states that the arithmetic mean of the values almost surely converges to the expected value as the number of repetitions approaches infinity . The expected value is also known as the expectation , mathematical expectation , EV , average , mean value , mean , or first moment . </P>
<P> In probability theory , the expected value of a random variable , intuitively , is the long - run average value of repetitions of the experiment it represents . For example , the expected value in rolling a six - sided dice is 3.5 , because the average of all the numbers that come up in an extremely large number of rolls is close to 3.5 . Less roughly , the law of large numbers states that the arithmetic mean of the values almost surely converges to the expected value as the number of repetitions approaches infinity . The expected value is also known as the expectation , mathematical expectation , EV , average , mean value , mean , or first moment . </P>
what is mathematical expectation of a random variable
what is mathematical expectation of a random variable
intuitively , is the long - run average value of repetitions of the experiment it represents
intuitively , is the long - run average value of repetitions of the experiment it represents