Probability density function: In mathematics, the probability density function in a continuous random variable (which can be simply called density function without confusion) is a function that describes the possibility that the output value of this random variable is near a certain value point.

Formula:

Among them, enter > 0 is a parameter of the distribution, which is often called rate par ameter. That is, the number of times an event occurs per unit time. The interval of exponential distribution is [o, oo]. If x is an exponential distribution of x in a random variable, it can be written as: x ~ informational(in).

Distribution:

In probability theory and statistics, exponential distribution is a continuous probability distribution. Exponential distribution can be used to represent the time interval of independent random events, such as the time interval of passengers entering the airport, the time interval of new entries in Chinese Wikipedia and so on.

The life distribution of many electronic products generally obeys exponential distribution. The life distribution of some systems can also be approximated by exponential distribution. It is the most commonly used distribution form in reliability research. Exponential distribution is a special case of gamma distribution and Weibull distribution. When the failure of a product is accidental, its life follows an exponential distribution.