For any random variable, P(x a) = P(x

Question

For any random variable, P(x   a) = P(x  < a) because P(x = a) = 0.

Mostafa Saafan · Accepted Answer

Final Answer : False, Explanation :  The statement is incorrect. P(x = a) may be non-zero for some discrete random variables, leading to P(x < a) ≠ P(x ≤ a) in those cases. For continuous random variables, P(x = a) = 0, but P(x < a) does not necessarily equal P(x ≤ a) due to the continuous nature of the variable.

For any random variable, P(x a) = P(x < a) because P(x = a) = 0.

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