When transmitting messages from a point A to a point B, out of every 40 messages
6 need to be corrected by applying error correcting codes. What is the probability
that in a batch of 200 messages sent from A to B, there will be between 38 and 42
messages that will have to be corrected.

Question

When transmitting messages from a point A to a point B, out of every 40 messages  
  6 need to be corrected by applying error correcting codes. What is the probability   
    that in a batch of 200 messages sent from A to B, there will be between 38 and 42 
    messages that will have to be corrected.

anonymous · Answer

6 messages outs of 40 need to be corrected. What is the probability that 38-40 messages need to be corrected out of 200?