How many red balls in jar (Negative Hypergeometric Distribution)












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We have 100 balls in a jar. We take samples without replacement. How many of them have to be red so that we will have found one red ball after at most 16 tries with a probability of P>0.5 for k repeating experiments?



I have been advised to use the negative hypergeometric distribution. I can understand how it works but i am stuck at some point.
For the Negative hypergeometric distribution there is:



N=100



K=C, Population of successes- red balls



F=100-C, Population of Failures



How can we calculate this? The result can be decimal.










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    0












    $begingroup$


    We have 100 balls in a jar. We take samples without replacement. How many of them have to be red so that we will have found one red ball after at most 16 tries with a probability of P>0.5 for k repeating experiments?



    I have been advised to use the negative hypergeometric distribution. I can understand how it works but i am stuck at some point.
    For the Negative hypergeometric distribution there is:



    N=100



    K=C, Population of successes- red balls



    F=100-C, Population of Failures



    How can we calculate this? The result can be decimal.










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      We have 100 balls in a jar. We take samples without replacement. How many of them have to be red so that we will have found one red ball after at most 16 tries with a probability of P>0.5 for k repeating experiments?



      I have been advised to use the negative hypergeometric distribution. I can understand how it works but i am stuck at some point.
      For the Negative hypergeometric distribution there is:



      N=100



      K=C, Population of successes- red balls



      F=100-C, Population of Failures



      How can we calculate this? The result can be decimal.










      share|cite|improve this question











      $endgroup$




      We have 100 balls in a jar. We take samples without replacement. How many of them have to be red so that we will have found one red ball after at most 16 tries with a probability of P>0.5 for k repeating experiments?



      I have been advised to use the negative hypergeometric distribution. I can understand how it works but i am stuck at some point.
      For the Negative hypergeometric distribution there is:



      N=100



      K=C, Population of successes- red balls



      F=100-C, Population of Failures



      How can we calculate this? The result can be decimal.







      probability-distributions






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 3 '18 at 8:54







      ritgeo

















      asked Dec 3 '18 at 8:39









      ritgeoritgeo

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