Jacob Bernoulli, Binomial Distribution, Probability, Central Limit Theorem, Deep Dives.
by Author) Now as per the WLLN, Z_n will also converge in probability to the mean of N(0, 1) which is zero: The WLLN applied to Z_n (Image by Author) Notice how the WLLN says that Z_n converges, not to a point to the left of or to the right of 0, but exactly to zero. WLLN guarantees a probabilistic