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Homework answers / question archive / An email message can travel through one of three server routes

An email message can travel through one of three server routes

Statistics

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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