Answer to Question #299208 in Statistics and Probability for Nick Butterfield

Question

A group of people were asked if they had run a red light in the last year. 302 responded “yes”, and 158 responded “no”

find the probability that if a person is chosen at random, they have run a red light in the past year.

Answer 1

302 responded “yes”, and 158 responded “no”

Total number of respondents is $n=302+158=460$

For this case, the people who responded yes is our success, that is $x=302.$

Therefore, the probability that a randomly selected person has  run a red light in the past year is ${x\over n}={302\over460}=0.6565$