Glen Schmidt owns and manages a chili$-$dog and softdrink stand near the Simon Fraser campus. While Glen can service $30$ customers per hour on the average $(),$ he gets only $20$ customers per hour $($A$).$ Because Glen could wait on $50\%$ more customers than actually visit his stand, it doesn't make sense to him that he should have any waiting lines.

Glen hires you to examine the situation and to determine some characteristics of his queue. After looking into the problem, you find it follows the six conditions for a single$-$channel waiting line.

The average number of customers in the system is customers $($round your response to two decimal places$).$

The average time a customer spends in the system is minutes $($round your response to two decimal places$).$

The average numbers of customers waiting in the line is customers $($round your response to two decimal places$).$

The average time spent by a customer awaiting service is minutes $($round your response to two decimal places$).$

The percentage of time the shop is used is percent $($round your response to the nearest whole number$).$

The probability that there are no customers in the sintem $($being waited on or waiting in the queue$)$ at any given time is $($round your response to two decimal places$).$