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In a factory, machines A, B and C are all producing metal rods of the same length - Edexcel - A-Level Maths Statistics - Question 2 - 2007 - Paper 1
Question 2
In a factory, machines A, B and C are all producing metal rods of the same length. Machine A produces 35% of the rods, machine B produces 25% and the rest are produc... show full transcript
Worked Solution & Example Answer:In a factory, machines A, B and C are all producing metal rods of the same length - Edexcel - A-Level Maths Statistics - Question 2 - 2007 - Paper 1
Step 1
Draw a tree diagram to represent this information.
Answer
- Start with a single point representing all rods produced.
- Create three branches from this point to represent the three machines: A, B, and C.
- Label the branches with their respective production percentages:
- Machine A: 35% (0.35)
- Machine B: 25% (0.25)
- Machine C: 40% (0.40)
- From each machine, branch out again to represent defective and non-defective rods:
- Machine A: 3% defective (0.03), 97% non-defective (0.97)
- Machine B: 6% defective (0.06), 94% non-defective (0.94)
- Machine C: 5% defective (0.05), 95% non-defective (0.95)
The completed tree diagram will illustrate all possible outcomes for rods produced.