A computer printer in a large administrative office has a printer buffer $($memory to store printing jobs$)$ capacity of $3$ jobs. If the buffer is full when a user wants to print a file, the user is told that the job cannot be printed and to try again later. There are so many users in this office that it can be assumed that there is an infinite calling population. Jobs arrive at the printer at a Poisson rate of $55$ jobs per hour and take an average of $1$ minute to print. Printing times are exponentially distributed.

What is the probability that a computer user will be told to resubmit a print job at a later time?

Group of answer choices

$0\mathrm{.}0232$

$0\mathrm{.}0399$

$0\mathrm{.}1668$

$0\mathrm{.}2362$

$0\mathrm{.}7638$

a number different from all the above

Flag question: Question $17$

Question $175$ pts

How long does a computer user have to wait for their job to be completed? Keep two decimals after rounding for your answer

Group of answer choices

$1\mathrm{.}39$ minutes

$2\mathrm{.}39$ minutes

$6\mathrm{.}72$ minutes

$8\mathrm{.}32$ minutes

$10\mathrm{.}00$ minutes

$14\mathrm{.}17$ minutes

a number $($in minutes$)$ different from all the above

Flag question: Question $18$

Question $185$ pts

Suppose the secretary of the administrative office would like to know how much the arrival rate could be if the number of jobs in the waiting line is $0\mathrm{.}4.$ Which of the following statements is true? Hint: use Goal Seek tool to answer this question. Keep one decimal after rounding for your answer.

Group of answer choices

arrival rate $=26\mathrm{.}7$ jobs per hour

arrival rate $=31\mathrm{.}8$ jobs per hour

arrival rate $=42\mathrm{.}3$ jobs per hour

arrival rate $=54\mathrm{.}6$ jobs per hour

arrival rate $=61\mathrm{.}2$ jobs per hour

arrival rate $=$ a number $($in jobs per hour$)$ different from all the above