 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2023/discrete-mathematics-probability-and-continuous-mathematics/9/a/ii/solution

An absolutely continuous probability distribution assigns zero probability to a singleton, because its density has zero integral over that set. Thus $P (X = x) = 0$ for every real

x

, including points where a chosen version of

f

is nonzero.

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