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Is the mean of probability distribution is called its expected value?
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.
What is the formula to find x value?
The formula to find the value of X would be Y-2X. This would equal to y-9 times 2 X.
Is the expected value the same as the standard deviation?
No. The expected value is the mean!
What is the meaning of expected value in a probability distribution?
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.
What does x mean in a math equation?
x is a variable. You do not have to know what its value is. In that equation you have to find the value of x, so if you already know what x stands for then you know the answer
