In any continuous probability distribution, what is the probability that x equals the mean P (x= mean):
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probability that x is equal the mean that X is equals to mean is distribution continent
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Answer:
The probability is zero.
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A continuous probability distribution with the random variable X can take on any value. A random variable X is called continuous when it satisfies P(X = x) = 0 for each x. Informally, this means that X suggests a “continuum” of values. By contrast, a discrete random variable is one that has a finite or countably infinite set of values x possible with P(X = x) > 0 for each of these values.
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