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So the integral of [tex]|Psi|[/tex] squared represents the probability of finding a particle at a certain position at a certain time. Please correct me if this is wrong. SO what exactly does the "density" refer to?
Probability density : Probability :: (mass) density : massNewbie says Hi said:Please correct me if this is wrong. SO what exactly does the "density" refer to?
Newbie says Hi said:So the integral of [tex]|Psi|[/tex] squared represents the probability of finding a particle at a certain position at a certain time. Please correct me if this is wrong. SO what exactly does the "density" refer to?
Probability is a measure of the likelihood of a specific event occurring, expressed as a number between 0 and 1. Probability density, on the other hand, is a mathematical function that describes the distribution of probabilities for a continuous random variable.
The main difference is that probability is a single value representing the likelihood of an event occurring, while probability density is a function that represents the distribution of probabilities for a continuous random variable.
No, they cannot be used interchangeably. Probability and probability density are two distinct concepts and should not be confused with each other.
Probability and probability density are related in that they both measure the likelihood of an event occurring. However, probability is used for discrete random variables, while probability density is used for continuous random variables.
Probability can be used to determine the chances of winning a game of chance, such as rolling a specific number on a dice. Probability density can be used to determine the likelihood of a person's height falling within a certain range, as height is a continuous variable.