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Probability

Mobile Science Museum · Mathematics

Operation: Rotate the pegboard and observe the curve formed by the falling balls. Function Overview: The exhibit consists of a set of reversible pegboards and several metal balls. When the pegboard is flipped, the balls fall one by one, collide with the pegs along the way, and land at the bottom, forming a curve that is high in the middle and low at both ends—this is the normal distribution curve. Scientific Principle: The normal distribution, also known as the Gaussian distribution, is a probability distribution of great importance in mathematics, physics, engineering, and many other fields, and has significant influence in many aspects of statistics. If a random variable follows a probability distribution with a location parameter and a scale parameter, denoted as: then its probability density function is: The expected value or mean of the normal distribution equals the location parameter, which determines the location of the distribution; the square root of its variance or standard deviation equals the scale parameter, which determines the amplitude of the distribution. The probability density function curve of the normal distribution is bell-shaped, so it is often called the bell curve. The standard normal distribution we usually refer to is a normal distribution with a location parameter of 0 and a scale parameter of 1.

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