Answer:
24.4
Explanation:
To find the commute time that represents the 40th percentile of this uniform distribution, you can use the formula for percentiles in a continuous uniform distribution:
Percentile = Minimum + (Percentile Rank) × (Maximum - Minimum)
In this case, the minimum time is 18 minutes, the maximum time is 34 minutes, and you want to find the 40th percentile. Plug these values into the formula:
Percentile = 18 + (0.40) × (34 - 18)
Now, calculate the percentile:
Percentile = 18 + (0.40) × 16
Percentile = 18 + 6.4
Percentile = 24.4
So, the 40th percentile of this distribution represents a commute time of 24.4 minutes.