To find the probability that the next vehicle passing is an SUV, we first need to determine the total number of vehicles that were counted during the four-hour period.
Given the counts from the table:
- Cars: 267
- SUVs: 422
- Vans: 63
- Small trucks: 273
- Large trucks: 224
- Dump trucks: 22
- Other: 70
Now, let's calculate the total number of vehicles:
\[ \text{Total vehicles} = 267 + 422 + 63 + 273 + 224 + 22 + 70 \]
Calculating this step-by-step:
\[ 267 + 422 = 689 \] \[ 689 + 63 = 752 \] \[ 752 + 273 = 1025 \] \[ 1025 + 224 = 1249 \] \[ 1249 + 22 = 1271 \] \[ 1271 + 70 = 1341 \]
Thus, the total number of vehicles counted is 1341.
Next, the probability that the next vehicle passing is an SUV can be calculated by dividing the number of SUVs by the total number of vehicles:
\[ \text{Probability (SUV)} = \frac{\text{Number of SUVs}}{\text{Total vehicles}} = \frac{422}{1341} \]
Now, we can calculate this probability:
\[ \text{Probability (SUV)} \approx 0.314 \]
So, the probability that the next vehicle passing is an SUV is approximately 0.314 or 31.4%.