The New York Transportation Department issued a report indicating that over the past year 234 accidents occurred at the intersection of Broad Street and Pine Street. The Transportation Department has indicated that a traffic light will be installed if there is at least an 80% probability of more than two accidents at this intersection in any given week. You are asked to statistically determine if a light will be installed.

Step-by-step explanation:

The New York Transportation Department issued a report indicating that over the past year 234 accidents occurred at the intersection of Broad Street and Pine Street.

There was a total of 234 accidents in the past year. For a traffic light to be installed, there is at least an 80% probability of more than two accidents at this intersection in any given week.

In a year, there are 56 weeks, thus 234 accidents / 56 = 4.5

p (x> 2) = (1-p) (x <= 2)- the probability of having more than 2 accidents per week

An average of four is more than the 80% probability of more than two accidents, thus a traffic light should be installed.

(-5,-28)

i graphed to on desmos.