That's doubtful, as no random variables are apparently involved in the questions of geometry. The situation with the Gauss function is perhaps similar to that o

That's doubtful, as no random variables are apparently involved in the questions of geometry. The situation with the Gauss function is perhaps similar to that of pi, which appeared originally in geometry of circles and only later was discovered in formulae for probability distributions or sums of infinite series. Neither Gauss function nor pi seem to be naturally connected to questions of probability; but applications of the probability theory to special situations lead to expressions that use these most basic mathematical concepts.