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An e-mail message can travel through one of two server routes. The probability of transmission error...

An e-mail message can travel through one of two server routes. The probability of transmission error in each of the servers and the proportion of messages that travel each route are shown in the following table. Assume that the servers are independent. A message must travel through Server 1 and 2 for Route 1 or through Server 3 and 4 for Route 2 (i.e., cannot travel through just one of the servers in the route).

Percentage of Messages Probability of Error
Server 1 Server 2 Server 3 Server 4
Router 1 40 0.01 0.015 - -
Router 2 60 0.02 0.003

a) What is the probability that a message will arrive without error?
b) If a message arrives in error, what is the probability it was sent through route 2?

math   Statistics-And-Probability   
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