To find the probability that a randomly chosen person has run a red light in the last year, you need to use the formula for probability:

$P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Here, the "favorable outcome" is someone who responded "yes" (i.e., they ran a red light), and the total number of outcomes is the total number of people surveyed.

Given:

• Number of people who said "yes" = 389
• Number of people who said "no" = 408

Total number of people surveyed = 389 + 408 = 797

So, the probability $P$ that a randomly selected person has run a red light is:

$P(\text{run red light}) = \frac{389}{797} \approx 0.4881$

Thus, the probability is approximately 0.4881, or 48.81%.

Would you like further details or have any other questions?

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Here are 5 related questions:

1. What is the probability that a randomly chosen person has not run a red light?
2. How would the probability change if 50 more people had said "yes"?
3. What is the complement of the event that a person has run a red light?
4. How do you calculate probability if the sample size changes?
5. Can we consider this survey to be a good representation of the whole population?

Tip: Probabilities are always between 0 and 1, with 0 meaning impossible and 1 meaning certain.