Q.1.a.

My home uses two light bulbs. On average, a light bulb lasts for 12 days (exponentially distributed). When a light bulb burns out, it takes an average of 4 days (exponentially distributed) before I replace the bulb. What fraction of the time that both light bulbs are working?

(Round your answer to four decimal places, for example 0.12348 becomes 0.1235)

Q.1.b

What type of queueing system was the light bulbs problem?

Group of answer choices

M/M/2/GD/2/inf

M/M/1/GD/2/inf

M/E₂/1/GD/2/inf

E₂/M/1/GD/inf/inf

Q.1.c

How many servers are in the following system?

Group of answer choices

1

10

5

2

Q.1.d

In the previous problem, what is if lambda=8 and mu=12? two decimals.