Let f(x) be the continuous probability density function of a random variable X. The probability that a < X ≤ b, is

A) $${\text{f}}\left( {{\text{b}} - {\text{a}}} \right)$$ B) $${\text{f}}\left( {\text{b}} \right) - {\text{f}}\left( {\text{a}} \right)$$ C) $$\int\limits_{\text{a}}^{\text{b}} {{\text{f}}\left( {\text{x}} \right){\text{dx}}} $$ D) $$\int\limits_{\text{a}}^{\text{b}} {{\text{xf}}\left( {\text{x}} \right){\text{dx}}} $$

Answer & Solution

Correct Answer: Option C

Let's discuss the solution. Join the discussion

Question posted by Examveda

Community

Join the Discussion

Join the discussion

Login to post a comment or share your explanation.

No comments yet Be the first to discuss this question.

Keep Learning

Let f(x) be the continuous probability density function of a random...

Let f(x) be the continuous probability density function of a random variable X. The probability that a < X ≤ b, is

Join the Discussion

Related Questions on Probability and Statistics