The Cumulative distribution function F(x) is a ans. Monotonic non-decreasing function Monotonic decreasing function none Monotonic increasing function

The Cumulative Distribution Function (CDF), F(x), is a Monotonic non-decreasing function. This means that as you move along the x-axis from negative infinity to positive infinity, the value of F(x) will either stay the same or increase, but it will never decrease. This is because the CDF is a measure of the probability that a random variable X will take a value less than or equal to x. As x increases, the set of values that are less than or equal to x also increases, so the probability can only stay the same or increase. Therefore, the CDF is not a Monotonic decreasing function, and it is not none of the options. It is a Monotonic increasing function, but it is more specifically a Monotonic non-decreasing function because it can also stay the same.