Finding a Minumum N from Binomial Distribution

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SUMMARY

The discussion focuses on determining the minimum number of trials (N) required to estimate the probability of Hershey's Kisses landing flat when dropped, utilizing the Binomial Probability Formula. The formula presented is P(x) = n! / (n-x)!x! * p^x * q^(n-x), where p is the probability of success and q is the probability of failure. The Law of Large Numbers is referenced as a foundational concept for obtaining an accurate estimate. Participants emphasize the need to define what constitutes "reasonably accurate" and "appears to be" in the context of the experiment.

PREREQUISITES
  • Understanding of Binomial Probability Formula
  • Familiarity with the Law of Large Numbers
  • Basic statistical concepts related to probability
  • Knowledge of experimental design and data collection
NEXT STEPS
  • Explore methods for isolating variables in the Binomial Probability Formula
  • Research statistical significance and confidence intervals in experimental results
  • Learn about data analysis techniques for experimental data
  • Investigate how to define and measure accuracy in probability experiments
USEFUL FOR

Students in statistics, educators teaching probability concepts, and anyone conducting experiments to estimate probabilities using real-world objects.

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Homework Statement



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?

Homework Equations





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) = \frac{n!}{(n-x)!x!} \bullet px \bullet qn-x

How would one isolate n in that formula though? Or should I approach this a different way?
 
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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.
 
HallsofIvy said:
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.

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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