The New York Transportation Department issued a report indicating that over the past year, on average, 234 accidents occurred at the intersection of Broad Street and Pine Street. The transportation department has indicated tahta 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. What is the probability a light wil be installed? A. 11.3% B. 94.1% C. 17.4% D. 88.9% E. None of the above

Question

Mathematics

Sariah Nichols

3 July, 22:37

The New York Transportation Department issued a report indicating that over the past year, on average, 234 accidents occurred at the intersection of Broad Street and Pine Street. The transportation department has indicated tahta 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. What is the probability a light wil be installed? A. 11.3% B. 94.1% C. 17.4% D. 88.9% E. None of the above

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Answers (1)

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Gunner Tyler · Answer 1

The correct option is B: 94.1%

Step-by-step explanation:

There are 52 weeks in a year so, if we divide 234 by 12 it gives 4.5 accidents per week on average. Given this information, we can say that in any randomly selected week, there will be an 80% probability of at least two accidents occurring on the said intersection. Hence, this means that a traffic light should be very likely will have to get installed in order to ensure safety of the residents.

Hope that answers the question, have a great day!