Cumulative Distribution Function problem

[asd1249jf]

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?

 

[HallsofIvy]

If one sample is X_1= -5, X_2= 3000, X_3= 500, then Y is the "middle value", 500. 500 is the "middle value" because -5< 500< 3000.

 

[asd1249jf]

Oh.. Ok

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