3899. Three automatic machines of various brands produce parts. The performance of the 1st machine per shift is 40 parts, the 2nd - 35 parts, the 3rd - 25 parts. It is established that 2, 3 and 5% of the products of these machines have latent defects, respectively. At the end of the shift, one part was taken for control. Find the probability that this part is non-standard.

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