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If X is a continuous random variable, then =P=Xa ▼(Choose one) for any number a.

Question

If X is a continuous random variable, then =P=Xa ▼(Choose one) for any number a.

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Solution

The probability that a continuous random variable X is exactly equal to any specific value a is always 0. This is because the set of possible outcomes is an infinite set for a continuous random variable. Therefore, P(X=a) = 0 for any number a.

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