Let X be a continuous random variable A ≤ X ≤ B and let f (x) be its probability density function and F (x) its cumulative distribution function. Indicate whether the following statements are true or false.
-$F ^ { \prime }$ (x) = f(x)

Question

Let X be a continuous random variable A ≤ X ≤ B and let f (x) be its probability density function and F (x) its cumulative distribution function.  Indicate whether the following statements are true or false. 
-$F ^ { \prime }$ (x) = f(x)

Quizplus · Accepted Answer

The derivative of the cumulative distribution function $F(x)$ with respect to $x$ is equal to the probability density function $f(x)$, by definition.

Let X Be a Continuous Random Variable a ≤ X F′F ^ { \prime }F′

Let X Be a Continuous Random Variable a ≤ X $F ^ { \prime }$