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This paper consists of two independent, but related parts. In the first partwe show how to use symbolic computation to derive explicit expressions for thefirst few moments of the number of implicants that a random Boolean functionhas, or equivalently the number of fixed-dimensional subcubes contained in arandom subset of the $n$-dimensional cube. These explicit expressions suggest,but do not prove, that these random variables are always asymptotically normal.  The second part presents a full, human-generated proof, of this asymptoticnormality, first proved by Urszula Konieczna.

On the Statistics of the Number of Fixed-Dimensional Subcubes in a Random Subset of the n-Dimensional Discrete Unit Cube