Solution of problem N1557 Laplace probability theory

Solution of problem N1557 Laplace probability theory

1557. A check of the quality of the watches made at the plant established that on average 98% of them meet the requirements, and 2% need additional adjustment. The receiver checks the quality of 316 manufactured watches. If at the same time 11 or more hours are found among them, requiring additional adjustment, then the whole lot is returned to the plant for finalization. What is the probability that the party will be accepted? (Use the Laplace integral theorem).

Additional information:

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