Qi Wang, Department of Statistics
Nov 8, 2017
Heights of Pokémon are Normally Distributed with a mean of 59 inches and a standard deviation of 17 inches.
If a Binomial distribution has a large enough combination of n and p, it behaves much like a Normal distribution, which means we can use the Normal distribution to approximate the original Binomial distribution
You may notice that Binomial is Discrete, and Normal is Continuous. This means the approximation comes at a cost of accuracy that we must try to correct. When we use the approximation, we need to perform a continuity correction:
If all conditions are satistified, find the Normal approximation to the following probability statement where $X$ follows a Binomial distribution