Outline the properties of an ‘accumulation function’ with illustrations

An accumulation function, also known as a cumulative distribution function (CDF), is a function that describes the cumulative probability of a random variable taking on values less than or equal to a certain value. The accumulation function is an important tool in probability and statistics and has several important properties that make it useful for modeling and analyzing data.

1. Non-decreasing: The accumulation function is always non-decreasing, meaning that as the value of the random variable increases, the cumulative probability also increases. This property ensures that the probability of the random variable taking on a value less than or equal to a larger value is always greater than or equal to the probability of the random variable taking on a value less than or equal to a smaller value.

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