High School

If the arrival rate for loading trucks is 11 trucks per hour, what is the mean time between arrivals (in minutes)?

Answer :

Final answer:

To find the mean time between arrivals given a rate of 11 trucks per hour, we divide the total time in an hour (60 minutes) by the rate of arrivals (11 trucks). This gives a mean time between arrivals of approximately 5.45 minutes, signifying that a new truck arrives about every 5.45 minutes.

Explanation:

The student's question pertains to the concept of rates and time intervals, which is a part of Probability and Statistics in Mathematics. The question is asking for the mean time between arrivals, given the rate of truck arrivals is 11 trucks per hour.

To find the mean time between arrivals, we divide the total time (in this case an hour, which is 60 minutes) by the rate of arrivals (11 trucks). This gives us:

Mean Time between Arrivals = 60/11 ≈ 5.45 minutes

Hence, the mean time between arrivals, given a rate of 11 trucks per hour, is approximately 5.45 minutes. This means, on average, a new truck arrives roughly every 5.45 minutes.

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