Random sampling of 100 data points from a binomial population












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This is my question I need to answer: Generate a random sample of 100 data points from a binomial population
B(40, 0.4).



I'm pretty sure that n=100 and my mean is 40 and standard deviation is .4, but I just do not know how to find the random sample?










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  • 3




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    Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:30
















0












$begingroup$


This is my question I need to answer: Generate a random sample of 100 data points from a binomial population
B(40, 0.4).



I'm pretty sure that n=100 and my mean is 40 and standard deviation is .4, but I just do not know how to find the random sample?










share|cite|improve this question









$endgroup$








  • 3




    $begingroup$
    Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:30














0












0








0





$begingroup$


This is my question I need to answer: Generate a random sample of 100 data points from a binomial population
B(40, 0.4).



I'm pretty sure that n=100 and my mean is 40 and standard deviation is .4, but I just do not know how to find the random sample?










share|cite|improve this question









$endgroup$




This is my question I need to answer: Generate a random sample of 100 data points from a binomial population
B(40, 0.4).



I'm pretty sure that n=100 and my mean is 40 and standard deviation is .4, but I just do not know how to find the random sample?







statistics






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asked Dec 12 '13 at 0:03









M ColbyM Colby

11




11








  • 3




    $begingroup$
    Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:30














  • 3




    $begingroup$
    Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:30








3




3




$begingroup$
Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
$endgroup$
– André Nicolas
Dec 12 '13 at 0:30




$begingroup$
Presumably you have access to a random number generator, which produces pseudo-random numbers in the interval $[0,1)$. Call something between $0$ and $0.4$ a success. Repeat $40$ times, count the number of successes. That will give you one data point. Repeat $100$ times.
$endgroup$
– André Nicolas
Dec 12 '13 at 0:30










2 Answers
2






active

oldest

votes


















0












$begingroup$

I generated in Mathematica, here are one sample data:



13, 16, 14, 18, 13, 10, 15, 15, 22, 9, 18, 18, 13, 17, 14, 10, 18,
16, 15, 18, 12, 16, 13, 12, 12, 9, 13, 17, 14, 13, 25, 16, 20, 23,
15, 10, 23, 14, 16, 18, 19, 22, 13, 16, 20, 16, 15, 12, 12, 13, 17,
15, 18, 13, 13, 17, 15, 15, 20, 15, 13, 16, 14, 18, 15, 15, 19, 17,
16, 21, 17, 20, 19, 14, 16, 16, 17, 19, 17, 23, 14, 20, 17, 13, 15,
21, 21, 23, 17, 22, 9, 11, 21, 12, 20, 15, 22, 15, 20, 15






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  • $begingroup$
    You said 40 is the mean..so let me redo again. 40 should be the number of trial.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:37












  • $begingroup$
    OP had indeed said $40$ is the mean, but that is not true.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:39










  • $begingroup$
    I have changed the data.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:41



















0












$begingroup$

You need a random number generator. If you have excel, you can simply use the following formula: BINOM.INV(40,0.4,RAND()) and copy it into 100 cells. Each time you pres F9, you will get a new set of observations.






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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0












    $begingroup$

    I generated in Mathematica, here are one sample data:



    13, 16, 14, 18, 13, 10, 15, 15, 22, 9, 18, 18, 13, 17, 14, 10, 18,
    16, 15, 18, 12, 16, 13, 12, 12, 9, 13, 17, 14, 13, 25, 16, 20, 23,
    15, 10, 23, 14, 16, 18, 19, 22, 13, 16, 20, 16, 15, 12, 12, 13, 17,
    15, 18, 13, 13, 17, 15, 15, 20, 15, 13, 16, 14, 18, 15, 15, 19, 17,
    16, 21, 17, 20, 19, 14, 16, 16, 17, 19, 17, 23, 14, 20, 17, 13, 15,
    21, 21, 23, 17, 22, 9, 11, 21, 12, 20, 15, 22, 15, 20, 15






    share|cite|improve this answer











    $endgroup$













    • $begingroup$
      You said 40 is the mean..so let me redo again. 40 should be the number of trial.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:37












    • $begingroup$
      OP had indeed said $40$ is the mean, but that is not true.
      $endgroup$
      – André Nicolas
      Dec 12 '13 at 0:39










    • $begingroup$
      I have changed the data.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:41
















    0












    $begingroup$

    I generated in Mathematica, here are one sample data:



    13, 16, 14, 18, 13, 10, 15, 15, 22, 9, 18, 18, 13, 17, 14, 10, 18,
    16, 15, 18, 12, 16, 13, 12, 12, 9, 13, 17, 14, 13, 25, 16, 20, 23,
    15, 10, 23, 14, 16, 18, 19, 22, 13, 16, 20, 16, 15, 12, 12, 13, 17,
    15, 18, 13, 13, 17, 15, 15, 20, 15, 13, 16, 14, 18, 15, 15, 19, 17,
    16, 21, 17, 20, 19, 14, 16, 16, 17, 19, 17, 23, 14, 20, 17, 13, 15,
    21, 21, 23, 17, 22, 9, 11, 21, 12, 20, 15, 22, 15, 20, 15






    share|cite|improve this answer











    $endgroup$













    • $begingroup$
      You said 40 is the mean..so let me redo again. 40 should be the number of trial.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:37












    • $begingroup$
      OP had indeed said $40$ is the mean, but that is not true.
      $endgroup$
      – André Nicolas
      Dec 12 '13 at 0:39










    • $begingroup$
      I have changed the data.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:41














    0












    0








    0





    $begingroup$

    I generated in Mathematica, here are one sample data:



    13, 16, 14, 18, 13, 10, 15, 15, 22, 9, 18, 18, 13, 17, 14, 10, 18,
    16, 15, 18, 12, 16, 13, 12, 12, 9, 13, 17, 14, 13, 25, 16, 20, 23,
    15, 10, 23, 14, 16, 18, 19, 22, 13, 16, 20, 16, 15, 12, 12, 13, 17,
    15, 18, 13, 13, 17, 15, 15, 20, 15, 13, 16, 14, 18, 15, 15, 19, 17,
    16, 21, 17, 20, 19, 14, 16, 16, 17, 19, 17, 23, 14, 20, 17, 13, 15,
    21, 21, 23, 17, 22, 9, 11, 21, 12, 20, 15, 22, 15, 20, 15






    share|cite|improve this answer











    $endgroup$



    I generated in Mathematica, here are one sample data:



    13, 16, 14, 18, 13, 10, 15, 15, 22, 9, 18, 18, 13, 17, 14, 10, 18,
    16, 15, 18, 12, 16, 13, 12, 12, 9, 13, 17, 14, 13, 25, 16, 20, 23,
    15, 10, 23, 14, 16, 18, 19, 22, 13, 16, 20, 16, 15, 12, 12, 13, 17,
    15, 18, 13, 13, 17, 15, 15, 20, 15, 13, 16, 14, 18, 15, 15, 19, 17,
    16, 21, 17, 20, 19, 14, 16, 16, 17, 19, 17, 23, 14, 20, 17, 13, 15,
    21, 21, 23, 17, 22, 9, 11, 21, 12, 20, 15, 22, 15, 20, 15







    share|cite|improve this answer














    share|cite|improve this answer



    share|cite|improve this answer








    edited Dec 12 '13 at 0:38

























    answered Dec 12 '13 at 0:22









    LorenMtLorenMt

    25818




    25818












    • $begingroup$
      You said 40 is the mean..so let me redo again. 40 should be the number of trial.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:37












    • $begingroup$
      OP had indeed said $40$ is the mean, but that is not true.
      $endgroup$
      – André Nicolas
      Dec 12 '13 at 0:39










    • $begingroup$
      I have changed the data.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:41


















    • $begingroup$
      You said 40 is the mean..so let me redo again. 40 should be the number of trial.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:37












    • $begingroup$
      OP had indeed said $40$ is the mean, but that is not true.
      $endgroup$
      – André Nicolas
      Dec 12 '13 at 0:39










    • $begingroup$
      I have changed the data.
      $endgroup$
      – LorenMt
      Dec 12 '13 at 0:41
















    $begingroup$
    You said 40 is the mean..so let me redo again. 40 should be the number of trial.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:37






    $begingroup$
    You said 40 is the mean..so let me redo again. 40 should be the number of trial.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:37














    $begingroup$
    OP had indeed said $40$ is the mean, but that is not true.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:39




    $begingroup$
    OP had indeed said $40$ is the mean, but that is not true.
    $endgroup$
    – André Nicolas
    Dec 12 '13 at 0:39












    $begingroup$
    I have changed the data.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:41




    $begingroup$
    I have changed the data.
    $endgroup$
    – LorenMt
    Dec 12 '13 at 0:41











    0












    $begingroup$

    You need a random number generator. If you have excel, you can simply use the following formula: BINOM.INV(40,0.4,RAND()) and copy it into 100 cells. Each time you pres F9, you will get a new set of observations.






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      You need a random number generator. If you have excel, you can simply use the following formula: BINOM.INV(40,0.4,RAND()) and copy it into 100 cells. Each time you pres F9, you will get a new set of observations.






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        You need a random number generator. If you have excel, you can simply use the following formula: BINOM.INV(40,0.4,RAND()) and copy it into 100 cells. Each time you pres F9, you will get a new set of observations.






        share|cite|improve this answer









        $endgroup$



        You need a random number generator. If you have excel, you can simply use the following formula: BINOM.INV(40,0.4,RAND()) and copy it into 100 cells. Each time you pres F9, you will get a new set of observations.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 12 '13 at 3:52







        user76844





































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