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 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 P = 65 Server 1 0.01 Server 2 Server 3 Server 4 0.015 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).
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 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 P = 65 Server 1 0.01 Server 2 Server 3 Server 4 0.015 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).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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2.7 5 please help
![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
35
65
P =
Server 1
0.01
Server 2 Server 3 Server 4
0.015
0.02
(a) What is the probability that a message will arrive without error?
Round your answer to four decimal places (e.g. 98.7654).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00114bb1-0365-4dfa-83cb-10b10c9a61b0%2F2245dd80-ef28-456a-a336-cf8b99e3d8ba%2Fbkscay_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
35
65
P =
Server 1
0.01
Server 2 Server 3 Server 4
0.015
0.02
(a) What is the probability that a message will arrive without error?
Round your answer to four decimal places (e.g. 98.7654).
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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