2361. The communication channel is transmitted 8 messages. Each of them, independently of the others, is distorted with a probability of 0.2. Find the probabilities of the following events: a) of 8 events, exactly 5 are distorted by interference; b) no more than half of all transmitted messages are distorted by interference; c) interference distorts more than 6 messages.

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