EE6610 Queueing Theory with Telecommunications Applications

[第三位数字]等

N1 = 3，N2 = 6，N3 = 8，N4 = 9，N5 = 4，N6 = 7，N7 = 2，N8 = 5。

1.将此语句转换为具有实际变量值而不是函数的语句
N2 通过复制以下粗体语句并填充空格。 (1 分)

2. 使用带有 N2 特定值的翻译版本，求出以下概率

3. 使用翻译后的版本和您的具体 N2 值，平均到达间隔时间是多少

Before you start to answer questions, consider your 8-digit number and write down the values of
the variables N1, N2, N3, … N8, as follows. N1 = [the first digit], N2 = [the second digit], N3 =
[the third digit], etc.

Suppose that your 8-digit number is 36894725. Then write down:
N1 = 3, N2 = 6, N3 = 8, N4 = 9, N5 = 4, N6 = 7, N7 = 2, N8 = 5.

For all questions, you will be required to translate the questions with the specific values of these

Question 1 (15 Marks)
Consider a Poisson process with rate (occurrences per second) which is equal to N2+10.

1. Translate this statement to a statement that has the actual variable value instead of the function
of N2 by copying the following bold statement and filling in the blank space. (1 Mark)
Consider a Poisson process with rate (occurrences per second) which is equal to ____.

2. Using the translated version with your specific value for N2, find the probability that there are
23 occurrences in a 2-second time interval. Show all steps. (9 Marks).

3. Using the translated version with your specific value for N2, what is the mean inter-arrival time
of that Poisson process? (5 Marks)