Researchers often use geometric distributions to model the number of trials before the first success.

The researcher used beta distributions to model the uncertainty in the proportion of defective items.

Researchers compared several binary distributions to model the two-state system's behavior.

To improve quality control, the engineers fitted several binomial distributions to the production data.

In reliability analysis, exponential distributions are frequently used to model the time between failures.

In extreme value theory, Gumbel distributions often model the maximum annual rainfall, helping engineers design safer drainage systems.

Recent advances in stochastic PDE theory rely heavily on paracontrolled distributions to handle singular products.

In the lecture, she compared several probability distributions to determine which model best fit the data.

When modeling rare events, comparing multiple Bernoulli distributions can reveal differences in success probabilities across populations.

The researchers compared the age distributions of the two cities to explain differences in healthcare usage.