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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) ?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
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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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