The t-distribution in R, a member of the stats package, is a bell-shaped probability distribution used extensively in statistical inference. It plays a crucial role in hypothesis testing (e.g., t-tests), confidence interval estimation, and data modeling. The t-distribution’s shape is controlled by the degrees of freedom, which determine its spread and smoothness. It has a wide range of functions for calculating probabilities, quantiles, and random variates. The t-distribution is related to the normal and Student’s t distributions, and its applications span various fields, including finance, healthcare, and social sciences.