Cumulative Distribution Function problem

  • Thread starter l46kok
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  • #1
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Homework Statement


Let the independent random variables X1,X2,X3 have the same cdf F(x). Let Y be the middle value of X1,X2,X3. Determine the cdf of Y.


Homework Equations



F(x) = P(X<=x) = ∫-inf to x f(y)dy

The Attempt at a Solution



I don't understand the question, what does it exactly mean when Y is the middle value of X1,X2,X3? I'm not exactly sure where to start. Can somebody help?
 

Answers and Replies

  • #2
HallsofIvy
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If one sample is [itex]X_1= -5[/itex], [itex]X_2= 3000[/itex], [itex]X_3= 500[/itex], then Y is the "middle value", 500. 500 is the "middle value" because -5< 500< 3000.
 
  • #3
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Oh.. Ok

I'm still a bit lost on how to tackle this problem..:confused:
 

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