Trucks are required to pass through a weighting station so. ... a
weighting station so that they can be checked for weight violations. Trucks arrive
at the station at the rate of 40 an hour between 7:00 p.m. and ... How many trucks
would you expect to see at the weighing station, including those being inspected
? b.
To determine the number of trucks you would expect to see at the weighing station, including those being inspected, you need to calculate the average number of trucks arriving during the specified time period.
First, let's find the average rate of trucks arriving per minute.
Since there are 60 minutes in an hour, the rate of trucks arriving per minute would be 40 trucks/hour divided by 60 minutes/hour, which equals 2/3 trucks/minute.
Next, we need to find the number of minutes between 7:00 p.m. and the end of the specified time period.
If we assume the time period ends at midnight (i.e., 12:00 a.m.), the duration would be 5 hours (60 minutes/hour * 5 hours), which equals 300 minutes.
Finally, multiply the average rate of trucks arriving per minute by the number of minutes to get the expected number of trucks at the weighing station.
(2/3 trucks/minute) * 300 minutes = 200 trucks.
Therefore, you would expect to see approximately 200 trucks at the weighing station, including those being inspected.