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===Answer 1===
 
===Answer 1===
Write it here.
+
Hint:
 +
:Assume the time the student shows up is X.  
 +
:Assume the time the professor shows up is Y.
 +
:Two equations that must be satisfied to have the meeting occurs: we represents the time unit in hour
 +
:1. <math> Y \leq X + \frac{1}{3}</math>
 +
:2. <math> X \leq Y + \frac{1}{6}</math>
 +
 
 +
:Find the area bounded by the equations and the range of X and Y.  (You can shift the range of X and Y from [2,3]x[2,3] to [0,1]x[0,1] for easier calculation) -TA
 
===Answer 2===
 
===Answer 2===
 
Write it here.
 
Write it here.

Latest revision as of 10:49, 26 March 2013

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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You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!


Answer 1

Hint:

Assume the time the student shows up is X.
Assume the time the professor shows up is Y.
Two equations that must be satisfied to have the meeting occurs: we represents the time unit in hour
1. $ Y \leq X + \frac{1}{3} $
2. $ X \leq Y + \frac{1}{6} $
Find the area bounded by the equations and the range of X and Y. (You can shift the range of X and Y from [2,3]x[2,3] to [0,1]x[0,1] for easier calculation) -TA

Answer 2

Write it here.

Answer 3

Write it here.


Back to ECE302 Spring 2013 Prof. Boutin

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