Solution of problem N1012 Laplace probability theory

Solution of problem N1012 Laplace probability theory

1012. As a result of the quality control of the pea seeds prepared for sowing, it is established that on average 90% are vigorous. How much seed should be sown so that with a probability of 0.991 it could be expected that the proportion of seed that has risen will deviate from the probability of ascending to each seed no more than 0.03 (in absolute value)?

Additional information:

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