Consider a global network that provides secure communication link between Singapore and Germany. There are two possible communication paths depending on their availability. The waiting time for path A to become available is given by an exponential random variable X, which has an expected value of 10 seconds. The waiting time for path B (more expensive) to become available is also given by an exponential random variable Yand has an expected value of 5 seconds. Assume that the random variables are independent of each other. The transmission time from Singapore to Germany is fixed for these paths, i.e., path A takes 30 seconds while path B takes 25 seconds. 16. Fill in the blanks ба) ) Find the probability that path B becomes available first. Answer: 1 (3SF). Enter the correct answer below. 1 Please enter a number for this text box.
Consider a global network that provides secure communication link between Singapore and Germany. There are two possible communication paths depending on their availability. The waiting time for path A to become available is given by an exponential random variable X, which has an expected value of 10 seconds. The waiting time for path B (more expensive) to become available is also given by an exponential random variable Yand has an expected value of 5 seconds. Assume that the random variables are independent of each other. The transmission time from Singapore to Germany is fixed for these paths, i.e., path A takes 30 seconds while path B takes 25 seconds. 16. Fill in the blanks ба) ) Find the probability that path B becomes available first. Answer: 1 (3SF). Enter the correct answer below. 1 Please enter a number for this text box.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question
4
Transcribed Image Text:17. Fill in the blanks
6b)
Find the probability that both path A and path B become available by 6 seconds.
Answer:
1
(3SF).
Enter the correct answer below.
1
Please enter a number for Lhis text box.
18. Fill in the blanks
6c):
J Suppose path A becomes available first, but you choose instead to wait for path B. What is the probability that your data will reach
Germany first with path B?
Hint: The transmission time from Singapore to Germany is fixed for these paths, i.e., path A takes 30 seconds while path B takes 25 seconds.
Answer:
1
(3SF).
Enter the correct answer below.
Please enter a number for this text box.
Transcribed Image Text:Consider a global network that provides secure communication link between Singapore and Germany. There are two possible communication paths depending
on their availability.
The waiting time for path A to become available is given by an exponential random variable X, which has an expected value of 10 seconds.
The waiting time for path B (more expensive) to become available is also given by an exponential random variable Yand has an expected value of 5 seconds.
Assume that the random variables are independent of each other. The transmission time from Singapore to Germany is fixed for these paths, i.e., path A takes
30 seconds while path B takes 25 seconds.
16. Fill in the blanks
ба)
) Find the probability that path B becomes available first.
Answer:
1
(3SF).
Enter the correct answer below.
Please enter a number for this text box.
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