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Math Help - Compute the probability of the min. of some RV.

  1. #1
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    Compute the probability of the min. of some RV.

    Take N balls, number them 1, ...,N with a pen, and put them in a bag. Then draw n of them with replacement, recording the numbers X_1, ..., X_n.

    Question: What is the distribution of X = max(X_1, ..., X_N), and Y = min(X_1, ..., X_N)?
    I have literally no idea how to start this. Can someone give me the first step, or the formula to use?
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  2. #2
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    Quote Originally Posted by bumcheekcity View Post
    I have literally no idea how to start this. Can someone give me the first step, or the formula to use?
    You could start by reading these:

    http://www.ism.ac.jp/editsec/aism/pdf/008_2_0095.pdf

    http://www.math.wm.edu/~leemis/2006informsjoc.pdf
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