Random Variables, Random Process, Probability, Deep Dives, Statistics.
If you run your eye up the Y-axis, you’ll notice how vanishingly small the probabilities are for most values of Z. That’s mostly because of the factorials in the denominator of the formula for P(Z=k). When k is small, k! is small but (N-k)! is huge and together with the 2^N, they totally squash