Statistics in economics?Watch
A very important part of econometrics is hypothesis testing. So things like confidence intervals, significance levels are very relevant to metrics. Probability distributions are also very important as well - for both testing hypotheses and developing statistics.
The other key thing about the norm dist is that when you take averages from any distribution, and you plot the averages, they will converge to a normal distribution. From this result you can find out various properties of the original distribution.