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 Route 1 Route 2 Percentage of Messages 35 65 P = P = i 0.9816 Server 1 Server 2 Server 3 Server 4 0.01 i 0.4721 0.015 (a) What is the probability that a message will arrive without error? Round your answer four decimal places (e.g. 98.7654). 0.02 0.003 (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).
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 Route 1 Route 2 Percentage of Messages 35 65 P = P = i 0.9816 Server 1 Server 2 Server 3 Server 4 0.01 i 0.4721 0.015 (a) What is the probability that a message will arrive without error? Round your answer four decimal places (e.g. 98.7654). 0.02 0.003 (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).
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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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
Route 1
Route 2
P =
Percentage
of
Messages
i
35
65
0.9816
Server 1
0.01
P = i 0.4721
Server 2 Server 3 Server 4
(a) What is the probability that a message will arrive without error?
Round your answer to four decimal places (e.g. 98.7654).
0.015
0.02
0.003
(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).
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