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Practice Problem: What is the probability that a meeting will occur?
A student and a professor agree to meet in the MSEE atrium at 2pm to go over the homework. Let X be the arrival time of the student, and let Y be the arrival time of the professor. Assume that the 2D random variable (X,Y) is uniformly distributed in the square [2 , 3]x[2,3].
If the student arrives first, then he will wait up to 20 minutes for the professor to arrive: if the professors does not show up within that time frame, then the student will leave.
The Professor is more impatient: she will leave if she has to wait for more than 10 minutes for the student to arrive.
What is the probability that the meeting will occur?
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Answer 1
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Answer 2
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Answer 3
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