Question

a group of people were asked if they had run a red light in the last year. 474 responded \yes\, and 175 responded
o\.
find the probability that a person, chosen at random, responded \yes\.
give your answer as a decimal, rounded to the nearest thousandth.
the probability that a person, chosen at random, reponded \yes\ is
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Explanation:

Step1: Calculate total number of people

The total number of people is the sum of those who said "yes" and those who said "no". So, \(474 + 175=649\).

Step2: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (people who said "yes") is \(474\), and the total number of outcomes is \(649\). So, \(P = \frac{474}{649}\approx0.730\) (rounded to the nearest thousandth).

Answer:

\(0.730\)