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It is the average of all the numbers in the distribution. If you chose a random data point of the distribution, there would be a 50% chance that it is above the mean, and a 50% chance that it is below the mean.

Q: What is the signifance of the mean of a probability distribution?

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with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.

Zero.

Yes.

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.

Uniform probability can refer to a discrete probability distribution for which each outcome has the same probability. For a continuous distribution, it requires that the probability of the outcome is directly proportional to the range of values in the desired outcome (compared to the total range).

Related questions

The significance of the mean of a probability distribution is that it is the most probably thing to happen. The mean is the average of a set of values. If it is the average of a probability distribution, it is the most probable part.

The mean of a binomial probability distribution can be determined by multiplying the sample size times the probability of success.

The mean of a discrete probability distribution is also called the Expected Value.

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.

Zero.

Yes.

yes

They are probability distributions!

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.

The mean of a sample is a single value and so its distribution is a single value with probability 1.

Uniform probability can refer to a discrete probability distribution for which each outcome has the same probability. For a continuous distribution, it requires that the probability of the outcome is directly proportional to the range of values in the desired outcome (compared to the total range).

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