To find the probability that a randomly chosen person has run a red light in the last year, we first need to determine the total number of respondents.
The total number of respondents is the sum of those who answered "yes" and those who answered "no": \[ \text{Total} = 189 + 319 = 508 \]
Next, we find the probability that a randomly selected person has run a red light in the last year. This is given by the ratio of the number of people who answered "yes" to the total number of respondents: \[ P(\text{run a red light}) = \frac{\text{Number of "yes"}}{\text{Total number of respondents}} = \frac{189}{508} \]
Now we will convert this fraction into a decimal: \[ P(\text{run a red light}) \approx 0.3728 \]
Thus, the probability that a randomly chosen person has run a red light in the last year is: \[ \boxed{0.3728} \]