# Can anyone explain the following distribution to me?

Problem Statement
(Printer). Any printer represents a single-server queuing system because
it can process only one job at a time while other jobs are stored in a queue. Suppose the
jobs are sent to a printer at the rate of 20 per hour, and that it takes an average of 40
seconds to print each job. Currently a printer is printing a job, and there is another job
stored in a queue. Assuming Bernoulli single-server queuing process with 20-second frames,
(a) what is the probability that the printer will be idle in 2 minutes?
Relevant Equations
$p_{00} = 8/9$
$p_{01}= 1/9$
Apparently the initial distribution for this problem, $P_0 = ( 0 0 1 0 0 0 0 0 )$

but I do not understand why there are 8 entries?

Related Calculus and Beyond Homework News on Phys.org

"Can anyone explain the following distribution to me?"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving