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At one of New York's traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and direct the traffic. The hourly traffic pattern from 12:00 p.m. to 10:00 p.m. mimics random numbers generated between 5 and 25 (assuming no external factors such as accidents or car breakdowns).

[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Scenario} & \text{Hour} & \text{Number of Cars Held Up at Intersection} \\
\hline
A & \text{noon-1:00 p.m.} & 16 \\
\hline
B & \text{1:00-2:00 p.m.} & 24 \\
\hline
C & \text{2:00-3:00 p.m.} & 6 \\
\hline
D & \text{3:00-4:00 p.m.} & 21 \\
\hline
E & \text{4:00-5:00 p.m.} & 15 \\
\hline
F & \text{5:00-6:00 p.m.} & 24 \\
\hline
G & \text{6:00-7:00 p.m.} & 9 \\
\hline
H & \text{7:00-8:00 p.m.} & 8 \\
\hline
I & \text{8:00-9:00 p.m.} & 9 \\
\hline
\end{array}
\][/tex]


Sagot :

Sure, let's analyze the hourly traffic pattern to determine when a traffic officer intervention is required. According to the problem, if more than 17 cars are held up at the intersection during any given hour, a traffic officer will intervene. Here is the given hourly traffic data:

1. 12:00 p.m. - 01:00 p.m.: 16 cars
2. 01:00 p.m. - 02:00 p.m.: 24 cars
3. 02:00 p.m. - 03:00 p.m.: 6 cars
4. 03:00 p.m. - 04:00 p.m.: 21 cars
5. 04:00 p.m. - 05:00 p.m.: 15 cars
6. 05:00 p.m. - 06:00 p.m.: 24 cars
7. 06:00 p.m. - 07:00 p.m.: 9 cars
8. 07:00 p.m. - 08:00 p.m.: 8 cars
9. 08:00 p.m. - 09:00 p.m.: 9 cars

Next, let's identify the hours when the number of cars exceeds the threshold of 17:

1. 12:00 p.m. - 01:00 p.m.: 16 cars (No intervention needed)
2. 01:00 p.m. - 02:00 p.m.: 24 cars (Intervention needed)
3. 02:00 p.m. - 03:00 p.m.: 6 cars (No intervention needed)
4. 03:00 p.m. - 04:00 p.m.: 21 cars (Intervention needed)
5. 04:00 p.m. - 05:00 p.m.: 15 cars (No intervention needed)
6. 05:00 p.m. - 06:00 p.m.: 24 cars (Intervention needed)
7. 06:00 p.m. - 07:00 p.m.: 9 cars (No intervention needed)
8. 07:00 p.m. - 08:00 p.m.: 8 cars (No intervention needed)
9. 08:00 p.m. - 09:00 p.m.: 9 cars (No intervention needed)

After examining each hour, we can see that the traffic officer needs to intervene in hours 2, 4, and 6. Therefore, the correct answer is:

[tex]\[ \boxed{[2, 4, 6]} \][/tex]

These are the hours during which traffic officer intervention is required.