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Item$13$

$5$

points

Time Remaining $1$ hour $51$ minutes $20$ seconds$01$:$51$:$20$

Item $13$

Time Remaining $1$ hour $51$ minutes $20$ seconds$01$:$51$:$20$

Mr$.$ Rockness trains college professors. It is a challenging task and involves five steps. He has worked hard to balance the line; however, there is a lot of variability. Each stage in the process now handles between three and seven faculty members per hour depending on how bad the case is$.($Assume that each stage is independent and that it is equally likely that three, four, five, six, or seven faculty members get processed each hour at each stage.$)$

If there is some inventory available for every position $($do not worry about the start$-$up$),$ what is the expected output per hour?