3754. From the first machine to the assembly receives 4

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3754. From the first machine to the assembly receives 40% of all parts, from the second 30%, the remaining parts from the third machine. The probability of manufacturing a defective part for a machine is respectively 0.1; 0.03; 0.05. Find the probability that the item received at the assembly at random is defective.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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