The output of a production line is checked by an inspector for one or more of three differenttypes of defects, called defects A, B and C. If defect A occurs, the item is scrapped . If defectB or C occurs, the item must be reworked. The time required to rework a B defect is 15minutes and the time required to rework a C defect is 30 minutes. The probabilities of anA, B and C defects are .1 5, .20 and .10 respectively. For ten items coming off the assembly line, determine tile number of items without any defects, the number scrapped and the total minutes of rework time. Use the following random numbers,
Answers
Answer:
where are the random numbers
Step-by-step explanation:
The complete data is:
For ten items coming off the assembly line, determine tile number of items without any defects, the number scrapped and the total minutes of rework time. Use the following random numbers,
RN for defects A:
48 55 91 40 93 01 83 63 47 52
RN for defects B:
47 36 57 04 79 55 10 13 57 09
RN for defects C:
82 95 18 96 20 84 56 11 52 03
Now consider,
Probability distribution (Defect A)
Event Prob. Cume. Prob. Prob. range Prob. range for simulation
Defect 0.15 0.15 0-0.15 0-0.14
No defect 0.85 1.00 0.15-1.00 0.15-0.99
Probability distribution (Defect B)
Event Prob. Cume. Prob. Prob. range Prob. range for simulation
Defect 0.20 0.20 0-0.20 0-0.19
No defect 0.80 1.00 0.20-1.00 0.20-0.99
Probability distribution (Defect C)
Event Prob. Cume. Prob. Prob. range Prob. range for simulation
Defect 0.10 0.10 0-0.10 0-0.09
No defect 0.90 1.00 0.10-1.00 0.10-0.99
Item Defect A Defect B Defect C Rework time
1 No No No
2 No No No
3 No No No
4 No Yes No 15 m
5 No No No
6 Yes No No
7 No Yes No 15 m
8 No Yes No 15 m
9 No No No
10 No Yes Yes 15m + 30m
90m
No. of defect items : 5
Scrap : 1 (Item No. 6)
Rework : 4