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Finding a Minumum N from Binomial Distribution

  1. May 1, 2012 #1
    1. The problem statement, all variables and given/known data

    From the text: Use Hershey's Kisses to estimate the probability that when dropped, they land with the flat part lying on the floor. How many trials are necessary to get a result that appears to be reasonably accurate when rounded to the first decimal place?

    2. Relevant equations



    3. The attempt at a solution

    Well assuming that I already obtained some ration through a numerous amount of trials ( by the Law of Large Numbers), how would I use that value to obtain a minimum N amount of trails necessary to get a reasonably accurate result?

    I know that the Binomial Probability Formula is:

    P(x) = [itex]\frac{n!}{(n-x)!x!}[/itex] [itex]\bullet[/itex] px [itex]\bullet[/itex] qn-x

    How would one isolate n in that formula though? Or should I approach this a different way?
     
  2. jcsd
  3. May 2, 2012 #2

    HallsofIvy

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    The wording of this problem implies that they expect you to actually do this experiment, using Hershey Kisses, then use the data from your experiment.
     
  4. May 2, 2012 #3

    Ray Vickson

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    You will also need to decide what is meant by "appears to be" and "reasonably accurate". (These would be issues on which people can honestly disagree!)

    RGV
     
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