For a continuous random variable with a probability density function, what is the probability of taking one exact specified value?
Correct answer: A. Always 0
- A. Always 0
- B. Always 1
- C. Equal to its mean
- D. Equal to its variance
Explanation
For a continuous random variable, probability is assigned to intervals, not individual points. The probability of any one exact value is therefore zero, even though the value may lie within the variable's range.
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