3. Probability and Distributions

These kinds of sentences are commonly used in real life. Probability or possibility or chances of occurrence are used in those cases where there is uncertainty. If we throw a ball from a height and there is nothing to stop the ball midway, it will surely fall to the ground. There is no uncertainty here. But think of a dart thrown at a board. It might strike anywhere. An experiment can be deterministic or random. In a deterministic experiment, the outcome is known, and there is no uncertainty. If we know all possible outcomes of any experiment but are not sure which outcome will occur, then we use the concept of probability to estimate the most likely outcome. Probabilistic concepts are helpful in real life as events cannot be predicted accurately but can be approximated. When expected outcomes of any experiment are predicted using theoretical concepts, we term it as a probability distribution, which is defined by statistical concepts like mean, variance, skewness, kurtosis, etc. They are defined by a mathematical function which is used to estimate various probabilities. Normal distribution is the most important and used distribution, which has applications in many areas.