Oct.14 Math Question from Mathydotcom

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  • mathdotcom
    SBR Posting Legend
    • 03-24-08
    • 11689

    #1
    Oct.14 Math Question from Mathydotcom
    Not very hard. No math hustlers allowed.

    Let X be a random variable that is equal to 1 with probability p and equal to 0 with probability (1-p). You can think of X as a coin but without equally likely outcomes. How would you calculate the expected duration (number of coin flips) until you observe for the first time X = 1?
  • hhsilver
    SBR Hall of Famer
    • 06-07-07
    • 7380

    #2
    E(N) = SIGMA ( i=1 to inf ) ipq^(i-1) where q=1-p
    Comment
    • mathdotcom
      SBR Posting Legend
      • 03-24-08
      • 11689

      #3
      (pq)^i-1 or p(q)^i-1? And is the i in front of pq included?
      Comment
      • hhsilver
        SBR Hall of Famer
        • 06-07-07
        • 7380

        #4
        only q is raised to i-1 power

        i x p x ( q ^ i-1)
        Comment
        • Bread
          SBR Posting Legend
          • 03-16-08
          • 23726

          #5
          i dunno
          Comment
          • pavyracer
            SBR Aristocracy
            • 04-12-07
            • 82905

            #6
            1+1=3
            Comment
            • pico
              BARRELED IN @ SBR!
              • 04-05-07
              • 27321

              #7
              Originally posted by pavyracer
              1+1=3
              if you're mexican, then 1+1 = 16 + gov subsidy
              Comment
              • SCRAGGS
                SBR MVP
                • 05-21-09
                • 1969

                #8
                Comment
                • RealSlimShady
                  SBR Hall of Famer
                  • 12-24-07
                  • 6249

                  #9
                  Mathy, why are you such a damn nerd?
                  Comment
                  • flyingillini
                    SBR Aristocracy
                    • 12-06-06
                    • 41219

                    #10
                    Mathy for next SBR Mod!
                    המוסד‎
                    המוסד למודיעין ולתפקידים מיוחדים‎
                    Comment
                    • mathdotcom
                      SBR Posting Legend
                      • 03-24-08
                      • 11689

                      #11
                      Originally posted by hhsilver
                      E(N) = SIGMA ( i=1 to inf ) ipq^(i-1) where q=1-p


                      Well done sir
                      BUT I SAID NO FUKKIN HUSTLERS!!!
                      Comment
                      • wtf
                        SBR Posting Legend
                        • 08-22-08
                        • 12983

                        #12
                        FYI

                        hh cheated off my paper
                        Comment
                        • mathdotcom
                          SBR Posting Legend
                          • 03-24-08
                          • 11689

                          #13
                          wtf I knew it

                          Would you like another Q?
                          Comment
                          • hhsilver
                            SBR Hall of Famer
                            • 06-07-07
                            • 7380

                            #14
                            Originally posted by mathdotcom


                            Well done sir
                            BUT I SAID NO FUKKIN HUSTLERS!!!
                            no, you specifically said no MATH hustlers.

                            I figured by doing this I was hustling for points.
                            Comment
                            • hhsilver
                              SBR Hall of Famer
                              • 06-07-07
                              • 7380

                              #15
                              thanks mathy,

                              actually I just wanted to do something for those who are suffering from a lack of Ganch.
                              Comment
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