a) Describe in details the system shown in the Figure 1, including the type of configurations, number of components, when will the system work, when will the system fail.
b) In the simple communication system shown in Figure 1 a signal can be transmitted from A to B by three different paths with different probabilities P1, P2 and P3 respectively. Find P1, P2 and P3 and round the values to three decimal places.
To find P1, P2 and P3 which is unique for your group, do the following:
1) Add 40165 and the student ID number of the members of your group and call it Total. (For example if the ID of the first student is 32323 and the second students ID is 36896 and 40165 is given, the P1, P2 and P3 will be calculated as: Total = 32323 + 36896 + 40165 = 109384.)
2) 1 = Student ID number of the first student /Total
3) 2 = Student ID number of the second student /Total
4) 3 = 40165 /Total [5 points]
c) Consider the communication system in Figure 1. If each component can fail with probability p, independently of the other component, find the probability that the system works (as a function of p) Using Matlab (or other software). [20 points]
d) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03, independently of the other component, find the probability that the system fails (as a function of p) Using Matlab (or other software). [15 points]
e) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03, independently of the other component, find the probability that the system works (as a function of p), given that component 13 has failed, using Matlab (or other software).
Project Deliverable 2 requirements: A full structured report (Word or PDF) having a cover page. Every answer should be well explained, in full details. MATLAB code (or other software code) showing the calculations and plots inside the deliverable as a text. Any missing information will result in deduction of marks. Question 1: Communication Systems (65 Points) a) Describe in details the system shown in the Figure 1, including the type of configurations, number of components, when will the system work, when will the system fail. 1 2 4 P 3 P. 7 A 5 6 B 8 9 P 10 13 11 12 Figure 1: An example of a simple communication system. [10 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE 3022 b) In the simple communication system shown in Figure 1 a signal can be transmitted from A to B by three different paths with different probabilities P1, P2 and P3 respectively. Find P1, P2 and P3 and round the values to three decimal places. To find P1, P2 and P3 which is unique for your group, do the following: 1) Add 40165 and the student ID number of the members of your group and call it "Total". (For example if the ID of the first student is 32323 and the second student's ID is 36896 and 40165 is given, the P1, P2 and P3 will be calculated as: Total = 32323 + 36896 +40165 = 109384.) Student ID number of the first student 2) P = Total Student ID number of the second student 3) P2 = Total P 10 13 100 11 12 Figure 1: An example of a simple communication system. [10 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE-3022 b) In the simple communication system shown in Figure 1 a signal can be transmitted from A to B by three different paths with different probabilities P1, P2 and P3 respectively. Find P1, P2 and P3 and round the values to three decimal places. To find P1, P2 and P3 which is unique for your group, do the following: 1) Add 40165 and the student ID number of the members of your group and call it "Total". (For example if the ID of the first student is 32323 and the second student's ID is 36896 and 40165 is given, the P1, P2 and P3 will be calculated as: Total = 32323 + 36896 + 40165 = 109384.) Student ID number of the first student 2) P = Total Student ID number of the second student 3) P2 = Total 40165 4) P, = Total [5 points] c) Consider the communication system in Figure 1. If each component can fail wi independently of the other component, find the probability that the system works p) Using Matlab (or other software). 3/4 P. ot .: [20 points) d) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03, independently of the other component, find the probability that the system fails (as a function of p) Using Matlab (or other software). [15 points) e) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03. independently of the other component, find the probability that the system works as a function of p). given that component 13 has failed, using Matlab (or other software). [15 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE-302 3 Project Deliverable 2 requirements: A full structured report (Word or PDF) having a cover page. Every answer should be well explained, in full details. MATLAB code (or other software code) showing the calculations and plots inside the deliverable as a text. Any missing information will result in deduction of marks. Question 1: Communication Systems (65 Points) a) Describe in details the system shown in the Figure 1, including the type of configurations, number of components, when will the system work, when will the system fail. 1 2 4 P 3 P. 7 A 5 6 B 8 9 P 10 13 11 12 Figure 1: An example of a simple communication system. [10 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE 3022 b) In the simple communication system shown in Figure 1 a signal can be transmitted from A to B by three different paths with different probabilities P1, P2 and P3 respectively. Find P1, P2 and P3 and round the values to three decimal places. To find P1, P2 and P3 which is unique for your group, do the following: 1) Add 40165 and the student ID number of the members of your group and call it "Total". (For example if the ID of the first student is 32323 and the second student's ID is 36896 and 40165 is given, the P1, P2 and P3 will be calculated as: Total = 32323 + 36896 +40165 = 109384.) Student ID number of the first student 2) P = Total Student ID number of the second student 3) P2 = Total P 10 13 100 11 12 Figure 1: An example of a simple communication system. [10 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE-3022 b) In the simple communication system shown in Figure 1 a signal can be transmitted from A to B by three different paths with different probabilities P1, P2 and P3 respectively. Find P1, P2 and P3 and round the values to three decimal places. To find P1, P2 and P3 which is unique for your group, do the following: 1) Add 40165 and the student ID number of the members of your group and call it "Total". (For example if the ID of the first student is 32323 and the second student's ID is 36896 and 40165 is given, the P1, P2 and P3 will be calculated as: Total = 32323 + 36896 + 40165 = 109384.) Student ID number of the first student 2) P = Total Student ID number of the second student 3) P2 = Total 40165 4) P, = Total [5 points] c) Consider the communication system in Figure 1. If each component can fail wi independently of the other component, find the probability that the system works p) Using Matlab (or other software). 3/4 P. ot .: [20 points) d) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03, independently of the other component, find the probability that the system fails (as a function of p) Using Matlab (or other software). [15 points) e) Consider the communication system in Figure 1. If each component can fail with probability p = 0.03. independently of the other component, find the probability that the system works as a function of p). given that component 13 has failed, using Matlab (or other software). [15 points) Course Title: Probabilistic Methods for Electrical and Computer Engineering Course Code: CE/EE-302 3
