The probability of the random variable assuming a value within some given interval from x1 to x2 is defined to be the area under the graph of the probability density function between x1 and x2.
A probability density function, also known as the density of a continuous random variable, is a function that, in the context of probability theory, can be read as expressing the relative possibility that the value of the random variable would be close to any given sample in the sample space.
In probability theory, the probability that a random variable will fall into a specific range of values rather than taking on a single value is defined by a probability density function (PDF). The function explains the existence of mean and deviation as well as the probability density function of a normal distribution.
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