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A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the tune, B is on the job

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`E_{1}`=time taken by machine operator A.

`E_{2}`= time taken by machine operator B.

`E_{3}`= time taken by machine operator C.

`X`=PRODUCING DEFECTIVE ITEMS

` therefore P(E_{1})=50 `

` P(E_{2})=30`

` P(E_{3})=20`

` ...
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