A continuous probability density function (PDF) f ( X ) describes the distribution of continuous random...

A continuous probability density function (PDF) f ( X ) describes the distribution of continuous random variable X . Explain in words, and words only, this property: P ( x a < X < x b ) = P ( x a ≤ X ≤ x b )

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Expert Solution

For any continuous random variable the probability that x=a or x=b is zero.There is no defined probability for continuous variables at any given fixed point. So, equality sign does not make any difference in the probabilities.

Therefore both given probabilities are same.

orchestra answered 1 year ago

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