The Laplace distribution consists of two exponential distributions, one positive and one negative, and is often used to model noise with heavier tails than the normal distribution.

To model customer wait times, the analyst estimated the probability distribution of service durations from historical data.

In reliability engineering, the exponential distribution is often used to model the time until failure of electronic components.

The company set up a distribution server to deliver the software updates to remote offices overnight.

The normal distribution is often used to model measurement errors and natural variations in biological data.

The experiment's measurement errors followed a Cauchy distribution, making the sample mean an unreliable estimator.

The residuals appear to follow a Gaussian distribution, which validates our model assumptions.

The age distribution in the city shifted noticeably after the new housing development opened.

The project switched to a binary distribution to simplify installation for end users.

Rice distributions are commonly used to model the magnitude of a circularly symmetric Gaussian random variable with a nonzero mean.