University state runs two bus lines on campus: yellow and blue. The yellow line serves the east campus, and the blue serves the west campus with a transfer station linking the two lines. Blue buses arrive randomly (exponential interarrival time) at the transfer station every 10 minutes. Yellow buses also arrive randomly every 7 minutes. What is the probability distribution of the waiting time for a student arriving on the yellow line to get on the blue line? What is the probability distribution of the waiting time for a student arriving on the blue line to get on the yellow line?

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