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

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

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

Quizplus · Accepted Answer

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