There are $92000$ random choices. Each one is selection of value $\{0, 1\}$ with given probabilities $\{0.95, 0.05\}$. So on average in series of $92000$ we will get $4600$ values of $1$.

What is the probability that in a sequence of $92000$ choices we will get less than $2300$ values of $1$? How should I approach this problem?