Use this text to answer the next $3$ questions.

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A Grapefruit Minor League$$s Team$$s baseball stadium has two ticket scanners working at stations A and B $($one each$).$ The two scanners work$$independently$.$ The stadium management is trying to determine if they need to open up another ticket scanner station to admit fans for entrance.$$

Fans arrive randomly at either station. During a recent observation period, the following$$interarrival$$times were recorded $($in seconds$)$:

Station A: $2,5,9,7,3,10,15,4,8$

Station B: $7,5,8,4,9,11,6,2,12$

During the same observation period, the following$$processing$$times for the two scanners were recorded as well $($in seconds$)$:

Station A: $5,3,4,8,2,9,7,10,1,6$

Station B: $9,4,7,1,8,8,5,10,6,3$

The stadium management wants to know how many fans, on average, are waiting in Stations A and B$.$ They decided that if$,$ on average, the number of fans waiting in either queue is more than $5,$ then they would need to open another ticket scanning station. Will the management need another station?

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Flag question: Question $1$

Question $14$ pts

Use this text to answer the next $3$ questions.

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A Grapefruit Minor League$$s Team$$s baseball stadium has two ticket scanners working at stations A and B $($one each$).$ The two scanners work$$independently$.$ The stadium management is trying to determine if they need to open up another ticket scanner station to admit fans for entrance.$$

Fans arrive randomly at either station. During a recent observation period, the following$$interarrival$$times were recorded $($in seconds$)$:

Station A: $2,5,9,7,3,10,15,4,8$

Station B: $7,5,8,4,9,11,6,2,12$

During the same observation period, the following$$processing$$times for the two scanners were recorded as well $($in seconds$)$:

Station A: $5,3,4,8,2,9,7,10,1,6$

Station B: $9,4,7,1,8,8,5,10,6,3$

The stadium management wants to know how many fans, on average, are waiting in Stations A and B$.$ They decided that if$,$ on average, the number of fans waiting in either queue is more than $5,$ then they would need to open another ticket scanning station. Will the management need another station?

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What is Station B$\text{'}$s queue length?$($Carry your calculations to three decimal places: x$.$nnn$)$