Question: At the start of every second, a train of 100 bits arrive to a queue at rate 1000 bits/second.

The departure rate from the queue is 500 bits/second. The queue is served bit-by-bit, and you can assume the buffer size is infinite.

Part 1: What is the average queue occupancy?

Note: Enter an integer. Any other kind of answer will result in a 0 point grade for this question.

Part 2: What is the average delay of a bit in the queue?

Note: Enter an integer. Any other kind of answer will result in a 0 point grade for this question.

Part 3: If the trains of 100 bits arrived at random intervals, one train per second on average, would the average queue occupancy be the same, lower or higher than in part (a)?

Part 4: If the departing bits from the queue are fed into a second, identical queue with the same departure rate, what is the average occupancy of the second queue?

Please show all your work and give an explanation of steps - Need explanatory work (explanation in words and a formula)