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1.  Two numbers, x and y, are randomly chosen from the interval [0,1]. What is the expected value of (x+y)?

2.  A line segment is broken at two random points along its length. What is the probability that the three new segments can be arranged to form a triangle?

3.  Three points are selected randomly on the circumference of a circle. What is the probability that the triangle formed by these three points contains the center of the circle?

 Apr 18, 2015

Best Answer 

 #1
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Answer to part 1.

E(x+y) = E(x) + E(y) = 1/2 + 1/2 = 1

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 Apr 20, 2015
 #1
avatar+30655 
+8
Best Answer

Answer to part 1.

E(x+y) = E(x) + E(y) = 1/2 + 1/2 = 1

.

Alan Apr 20, 2015

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