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*0.025=0.0118`

• Defective parts from machine B of the total:

`0.30*0.045=0.0135`

• Defective parts from machine C of the total:

`0.23*0.055=0.0127`

Total defective parts: