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 Y and 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 6a) (3 marks) 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.17. Fill in the blanks 6b) (3 marks) Find the probability that both path A and path B become available by 6 seconds. Answer: 1 (3SF). Enter the correct answer below. Please enter a number for this text box. 18. Fill in the blanks 6c) (4 marks) 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