Solution of problem N407 Laplace probability theory

Solution of problem N407 Laplace probability theory

407. In the communication sequence of signs forming the message, any sign due to interference, independently of the others, is distorted with a probability of 0.002. What is the probability that in the transmitted sequence of 10,000 characters: a) there will be at least 10 distortions; B) the number of distortions will not be more than 20?

Additional information:

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