I'm working on a stats project, but in the assignment there is some notation I haven't been able to find in the book or googling. in the below, I don't know which equation N(u,o^2) refers to; with mean $= E(X)$ and $\sigma^2 = \text{VAR}(X)$ for $B \sim \text{Bernoulli}(p)$ with $p = 0.4$.
I'm attempting to find out the probability of a mean being less than the sample proportion (in this case, 0.4) of a binomial distribution.
I already have a simulation approximation, an exact value, but now I also need one via the CLT... but I'm a tad lost.
Thank you for your help.