The cumulative distribution function in the second graph corresponds to the density function in the first graph.

Question

Quizplus · Accepted Answer

The second graph shows a monotonically increasing function representing the cumulative distribution of random variable X. The first graph shows the probability density function of X. The area under the density function between two points gives the probability of X taking a value between those points. The cumulative distribution function is the integral of the density function, which gives the probability that X is less than or equal to a certain value. Hence, the cumulative distribution function corresponds to the density function.

The Cumulative Distribution Function in the Second Graph Corresponds to the Density