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Example 4-4. A factory produces a certain type of outputs by three types of machine. The respective daily production figures are : Machine I: 3,000 Units; Machine II: 2,500 Units; Machine III : 4,500 Units Past experience shows that 1 per cent of the output produced by Machine I is defective. The corresponding fraction of defectives for the other two machines are 1-2 per-cent and 2 per- cent respectively. An item is drawn at random from the day's production run and is found to be defective. What is probability that it comes from the output of (i) Machine I, (ii) Machine II, (iii) Machine (iii) ?

Example 4-4. A factory produces a certain type of outputs by three types of machine. The respective daily production figures are : Machine I: 3,000 Units; Machine II: 2,500 Units; Machine III : 4,500 Units Past experience shows that 1 per cent of the output produced by Machine I is defective. The corresponding fraction of defectives for the other two machines are 1-2 per-cent and 2 per- cent respectively. An item is drawn at random from the day's production run and is found to be defective. What is probability that it comes from the output of (i) Machine I, (ii) Machine II, (iii) Machine (iii) ?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 50E
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Example 4-4. A factory produces a certain type of outputs by three types of machine. The respective daily production figures are: Machine I: 3,000 Units; Machine II: 2,500 Units; Machine III : 4,500 Units Past experience shows that 1 per cent of the output produced by Machine I is defective. The corresponding fraction of defectives for the other two machines are 1-2 per-cent and 2 per- cent respectively. An item is drawn at random from the day's production run and is found to be defective. What is probability that it comes from the output of (i) Machine I, (ii) Machine II, (iii) Machine (iii) ?
Transcribed Image Text:Example 4-4. A factory produces a certain type of outputs by three types of machine. The respective daily production figures are: Machine I: 3,000 Units; Machine II: 2,500 Units; Machine III : 4,500 Units Past experience shows that 1 per cent of the output produced by Machine I is defective. The corresponding fraction of defectives for the other two machines are 1-2 per-cent and 2 per- cent respectively. An item is drawn at random from the day's production run and is found to be defective. What is probability that it comes from the output of (i) Machine I, (ii) Machine II, (iii) Machine (iii) ?
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