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Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
Probability = number of times an event is expected to happen / number of opportunities for an event to happen It can be expressed as a percentage or a fraction.
Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.
Find the total amount of possible outcomes, that's your denominator for the fraction, the bottom number, and find the amount of successes, that's your numerator, the top number. Turn the fraction into a decimal and that's your answer.
Erwin Schrödinger was a physicist and a father of quantum mechanics. Quantum mechanics deals a lot with probability. His famous Schrödinger equation, which deals with how the quantum state of a physical system changes in time, uses probability in how it deals with the local conservation of probability density. For more information, please see the Related Link below.