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

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter4: Quadrilaterals
Section4.CT: Test
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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. What is the probability that next week, the student will encounter 3 reds, 2 yellows and 2 greens on his way to school?
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