5.19 As a student drives to school, he encounters a traffic signal. This traffic signal stays green for 35 seconds, yellow for 5 seconds, and red for 60 seconds. Assume that the student goes to school each weekday between 8:00 and 8:30 a.m. Let X₁ be the number of times he encounters a green light, X₂ be the number of times he encounters a yellow light, and X3 be the number of times he encounters a red light. Find the joint distribution of X₁, X2, and X3.

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