- 20 Marks
QTB – Nov 2015 – L1 – SB – Q4 – Statistics
Calculate probabilities related to defective items using a tree diagram for a production company with three lines.
Question
A production company has three production lines L1L_1, L2L_2, and L3L_3.
The table below shows the percentage of items produced and percentage of defective items from each line:
| Production Line | Percentage Produced (%) | Percentage Defective (%) |
|---|---|---|
| L1L_1 | 35 | 4 |
| L2L_2 | 25 | 2 |
| L3L_3 | 40 | 3 |
You are required to:
a. Draw the tree diagram for the production company. (7 Marks)
b. Use your tree diagram to obtain the probability that:
- The company produces defective items. (8 Marks)
- If there is a defective item from the company, it is either from L1L_1 or L3L_3. (5 Marks)
(Total: 20 Marks)
Find Related Questions by Tags, levels, etc.
- Tags: Defective Items, Probability, Production Lines, Tree Diagram
- Level: Level 1
- Topic: Statistics
- Series: NOV 2015
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