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. Probability of Error Percentage of Messages Server 1 Server 2 Server 3 Server 4 Route 1 35 0.01 0.015 - - Route 2 65 - - 0.02 0.003 (a) What is the probability that a message will arrive without error? Round your answer to four decimal places (e.g. 98.7654). P = (b) If a message arrives in error, what is the probability it was sent through route 1? Round your answer to four decimal places (e.g. 98.7654). P =
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- Route 1: 35% of messages - Server 1 error probability: 0.01 - Server 2 error probability: 0.015 - Route 2: 65% of messages - Server 3 error probability: 0.02 - Server 4 error probability: 0.003 Show more…
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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. Probability of Error Percentage of Messages Server 1 Server 2 Server 3 Server 4 Route 1: 30 0.01 0.025 - - Route 2: 70 - - 0.02 0.017 (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 1?
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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: Server 1: 40 Server 2: 25 Server 3: 35 % of Errors: Server 1: 1 Server 2: 2 Server 3: 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
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 given in the following table. Assume that the servers are independent. Probability of getting an error % of traffic Server 1 Server 2 Server 3 Server 4 Route A 25 0.01 0.007 0 0 Route B 75 0 0 0.005 0.008 [10 pts] Draw a probability tree, mark carefully all the branches and corresponding probabilities [5 pts] What is a probability that a message will arrive with error? [5 pts] What is a probability that a messenger will arrive error-free?
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