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An email message can travel through one of three server routes
An email message can travel through one of three server routes. The percentage of errors in each of the servers and the percentage of messages that travel through each route are shown in the following table. Assume that the servers are independent.
|
Percentage of Messages Percentage of Errors |
|
Server 1 40 1 Server 2 25 2 Server 3 35 1.5 |
(a) What is the probability of receiving an email containing an error?
(b) What is the probability that a message will arrive without error?
(c) If a message arrives without error, what is the probability that it was sent
through server 1?
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