If a random variable X is distributed normally with probability distribution function p(x), then the expected value of X is
E(X) = integral of x*p(x)dx evaluated over the whole of the real line.
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The expected value of the standard normal distribution is equal to the total amount of the value. It is usually equal to it when the value works out to be the same.
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.
This is the answer.
The total area under a normal distribution is not infinite. The total area under a normal distribution is a continuous value between any 2 given values. The function of a normal distribution is actually defined such that it must have a fixed value. For the "standard normal distribution" where μ=0 and σ=1, the area under the curve is equal to 1.
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