No. The mean is the expected value of the random variable but you can also have expected values of functions of the random variable.
If you define X as the random variable representing the result of a single throw of a fair die, the expected value of X is 3.5, the mean of the probability distribution of X. However, you play a game where you pay someone a certain amount of money for each throw of the die and the other person pays you your "winnings" which depend on the outcome of the throw. The variable, "your winnings", will also have an expected value. As will your opponent's winnings.
The mean of a discrete probability distribution is also called the Expected Value.
The expected value is the average of a probability distribution. It is the value that can be expected to occur on the average, in the long run.
Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?
For a discrete probability distribution, you add up x*P(x) over all possible values of x, where P(x) is the probability that the random variable X takes the value x. For a continuous distribution you need to integrate x*P(x) with respect to x.
30.47
The mean of a discrete probability distribution is also called the Expected Value.
The expected value is the average of a probability distribution. It is the value that can be expected to occur on the average, in the long run.
Expected value is the outcome of confidence of how probability distribution is characterized. If the expected value is greater than the confidence interval then the results are significant.
Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?
This is the answer.
Yes it can be negative.
The third moment. That is, the expected value of the cubes of the deviations from the mean.
Yes, it is true.
It is a probability distribution in which the probability of the random variable being in any interval on one side of the mean (expected value) is the same as for the equivalent interval on the other side of the mean.
It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.
A Bernoulli distribution is a discrete probability distribution which takes value 1 with success probability p and value 0 with failure probability q = 1 - p.
If X takes the value 1 with probability p and 0 with probability (1-p), and there are n independent trials then E(X) = np