Briefly explain the term normalized wave function in quantum mechanics

In quantum mechanics, the term normalized wave function refers to a mathematical function that describes the quantum state of a system. Normalization means that the total probability of finding the system in any possible state is equal to 1. This ensures that the wave function is properly scaled and accurately represents the probability distribution of the system's possible states. In other words, normalization ensures that the wave function accurately represents the likelihood of finding a particle in a given state.