Solution of problem N1060 Laplace probability theory

Solution of problem N1060 Laplace probability theory

1060. The probability of detecting at least one defective product with an independent verification of four items is 0.3439. What is the probability that when checking a batch of 100 items, it will be found:
a) 10 defective items;
b) not more than 15 defective items?

Additional information:

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