Question

Three machines A, B, and C produce 47%, 30% and 23% respectively. The percentages of defective output are 2.5%, 4.5% and 5.5%. If an item is selected randomly, find the probability that the item is defective.

Answer 1

Data

• Machine A produces 47% with 2.5% defective output.

,

• Machine B produces 30% with 4.5% defective output.

,

• Machine C produces 23% with 5.5% defective output

Procedure

• Defective parts from machine A of the total:

$0.47\times0.025=0.0118$

• Defective parts from machine B of the total:

$0.30\times0.045=0.0135$

• Defective parts from machine C of the total:

$0.23\times0.055=0.0127$

Total defective parts:

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