han Females. Our analysis suggests that males are less likely to be arrested than females. Specifically, we estimate that Black drivers in New Orleans face about a 25% chance of being arrested during a traffic stop, compared to roughly 20% for White drivers, with this estimate incorporating inherent uncertainty.

$$
Y \sim \text{Bernoulli}(\rho)
$$

$$
\rho = \frac{1}{1 + e^{-(\beta_0 + \beta_1 X_1 + \beta_2 X_2 + \cdots + \beta_k X_k)}}
$$

$$
P(Y = 1) = \rho
$$

$$
\widehat{\text{arrested}}