F(x) is the cumulative distribution function for a continuous random variable X. Find the probability density function f(x)
associated with F(x).
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Question

Quizplus · Accepted Answer

The probability density function is the derivative of the cumulative distribution function. Therefore, we need to take the derivative of F(x) to find f(x). Option B is the only one that shows the derivative of F(x). The probability density function is obtained by differentiating the cumulative distribution function:
f(x) = d/dx(F(x))
The option B is the only one that represents the derivative of the function in option A. Therefore, B is the best choice.

F(x) Is the Cumulative Distribution Function for a Continuous Random