Waiting Line Management Problem?

I am having trouble on this problem:

Students arrive at the Admin. Services Office at an average of 1 every 15 minutes and their requests take an average of 10 minutes to be processed. There is only one clerk who works 8 hours a day.

What percent of time is the clerk idle?

What is the average amount of time spent by a student waiting in line?

How long is the waiting line on average?

What is the probability that an arriving student (just before entering the office) will find at least 1 other student in line?

He works 10 mins then is idle 5 on average.
1 hour = 4 x 15 mins = 4 x 10 mins busy + 4 x 5 mins idle

40 mins busy + 20 mins idle for 8 hours
320 mins busy + 160 idle = 480 mins

160 / 480 = 33 percent idle

average wait 0 mins

Probability of having 1 in line is almost nil cause there are no lines usually.

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