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 is shown in the following table. Assume that the servers are independent. | | % of Messages | % of Errors | | :--- | :--- | :--- | | Server 1 | 40 | 1 | | Server 2 | 25 | 2 | | Server 3 | 35 | 1.5 | If a message arrives without error, what is the probability that it was sent through server 1, find P(S1|EC)? 0.4328 0.4219 0.3248 0.3337
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For Server 1, the probability of a message arriving without error is 1 - 0.015 = 0.985. For Server 2, the probability of a message arriving without error is 1 - 0.015 = 0.985. For Server 3, the probability of a message arriving without error is 1 - 0.015 = Show more…
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