Question

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1. For the quarter scale tractor team: Student A is 94% reliable at CAD, 90% reliable at Excel, and 82% at Word; Student B is 88% reliable at CAD, 88% reliable at Excel, and 88% at Word; and Student C is 84% reliable at CAD, 86% Excel, and 96% at Word. Which of the following is more reliable: Student A draws the tractor with CAD while the other two do calculations with Excel weld and write the final report with Word, or Student B does calculations with Excel for the tractor while the other two draw the tractor with CAD and write the final report with Word, or if student C writes the final report with Word while the other two draw the tractor with CAD and do calculations with Excel? Specify the reliabilities for each scenario. What is the reliability, if they all participate in each step?

Answer 1

Given Data:

Software↓	Reliability
Student A	Student B	Student C
CAD	94%	88%	84%
Excel	90%	88%	86%
Word	82%	88%	96%

Question 1: Student A – CAD, Student B – Excel + Word, Student C – Excel + Word

Assuming the weightage each task is same,

Weightage of each task = 100/3 = 33.33%

1. Weightage of student A in performing task with CAD = 33.33%

2. Weightage of student B in performing task with Excel = 33.33%/2 = 16.67%

3. Weightage of student B in performing task with Word = 33.33%/2 = 16.67%

4. Weightage of student C in performing task with Excel = 33.33%/2 = 16.67%

5. Weightage of student C in performing task with Word = 33.33%/2 = 16.67%

Final Reliability = (33.33% x 94%) + (16.67% x 88%) + (16.67% x 88%) + (16.67% x 88%) + (16.67% x 88%) = 90.00%

Question 2: Student A – CAD + Word, Student B – Excel, Student C – CAD + Word

In this case,

1. Weightage of student A in performing task with CAD = 33.33%/2 = 16.67%

2. Weightage of student A in performing task with Word = 33.33%/2 = 16.67%

3. Weightage of student B in performing task with Excel = 33.33%

4. Weightage of student C in performing task with CAD = 33.33%/2 = 16.67%

5. Weightage of student C in performing task with Word = 33.33%/2 = 16.67%

Final Reliability = (16.67% x 94%) + (16.67% x 82%) + (33.33% x 88%) + (16.67% x 84%) + (16.67% x 96%) = 88.67%

Question 3: Student A – CAD + Excel, Student B – CAD + Excel, Student C –Word

In this case,

1. Weightage of student A in performing task with CAD = 33.33%/2 = 16.67%

2. Weightage of student A in performing task with Excel = 33.33%/2 = 16.67%

3. Weightage of student B in performing task with CAD = 33.33%/2 = 16.67%

4. Weightage of student B in performing task with Excel = 33.33%/2 = 16.67%

5. Weightage of student C in performing task with Word = 33.33%

Final Reliability = (16.67% x 94%) + (16.67% x 90%) + (16.67% x 88%) + (16.67% x 88%) + (33.33% x 96%) = 92.00%

Question 4: All students performing all tasks

In this case,

1. Weightage of each student in performing each task = 33.33%/3 = 11.11%

Final Reliability = 11.11% x (94% + 88% + 84% + 90% + 88% + 86% + 82% + 88% + 96%) = 88.44%