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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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What is the expected value of the standard normal distribution equal to?

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.


What is the mean of a normal distribution?

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.


What is the expected value of the normal distribution?

The expected value of a normal distribution, also known as the mean, represents the central point around which the data is symmetrically distributed. For a normal distribution characterized by its mean (μ) and standard deviation (σ), the expected value is simply μ. This value indicates where the peak of the bell curve occurs and serves as a measure of central tendency for the distribution.


What does the mean have to do with a normal distribution?

Almost all statistical distribution have a mean. It is the expected value of the random variable which is distributed according to that function.


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.


The expected value is what kind of aspect of how probability distribution is characterized?

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.


What is the different between standard normal distribution and normal distribution?

A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.


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?

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?


What is the expected value of the number of grams of sugar in cereal?

The expected value of the number of grams of sugar in cereal can be calculated by taking the weighted average of the sugar content across various cereal options, based on their probabilities of being chosen. This requires knowing the sugar content for each type of cereal and the likelihood of selecting each one. If specific data or a distribution of sugar content in cereals is provided, the expected value can be computed accordingly. Without this data, the expected value cannot be determined.


The mean or expected value of the distribution of a discrete random variable is?

30.47


Can the expected value of a discrete probability distribution be negative?

Yes it can be negative.


What is the expected value of this distribution if the probability of success on a single trail is 0.5?

This is the answer.

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