Question

A group of people were asked if they had run a light in the last year. 129 responded yes and 331 responded no. Find the probability that if a person is chosen at random, they have run a red light in the last year?

Answer 1

The probability that a randomly chosen person has run a red light in the last year is found by dividing the number of affirmative responses (129) by the total number of responses (460), resulting in approximately 0.2804 or 28.04%.

Step-by-step explanation:

To find the probability that a person is chosen at random has run a red light in the last year, you need to divide the number of people who responded 'yes' by the total number of people surveyed. The total number of people surveyed is the sum of those who responded 'yes' and those who responded 'no'.

Number of people who ran a red light (yes): 129
Number of people who did not run a red light (no): 331
Total number of people surveyed: 129 + 331 = 460

To find the probability, you calculate the following:

Probability = Number of 'yes' responses / Total number of responses
Probability = 129 / 460
Probability = 0.2804 (rounded to four decimal places)

Therefore, the probability that a randomly chosen person has run a red light in the last year is approximately 0.2804 or 28.04%.