A manufacturer has three machine operators \( A, B \) and \( C \). The first operator \( A \) pr...

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The Operator
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A manufacturer has three machine operators \( A, B \) and \( C \). The first operator \( A \) produces \( 1 \% \) defective items, whereas the other two operators \( B \) and \( C \) produce \( 5 \% \) and \( 7 \% \) defective items respectively. Operator \( A \) is on the job for \( 50 \% \) of the time, \( B \) on the job for \( 30 \% \) of the time and \( C \) on the job for \( 20 \% \) of the time.
Based on the above information answer the following questions:
A defective item is produced, the probability that it was produced by operator \( B \) or Operator C, is
(A) \( \frac{5}{34} \)
(B) \( \frac{15}{34} \)
(C) \( \frac{\angle \mathbf{L}}{\angle} \)
(D) \( \frac{29}{34} \)
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