What problem can be solved by linear superposition of the same normal distribution?

The linear superposition of the same normal distribution can be used in the following aspects: noise filtering, data analysis, risk assessment, etc. In signal processing, noise can be separated by superimposing multiple normal distributions, so as to better filter out the noise part in the signal. In statistical analysis, we can use the superposition of multiple normal distributions to establish a mixed model, so as to better describe the distribution of data and detect and separate different data clusters. In the financial field, the superposition of normal distribution can be used for risk assessment.