Important help on the subject of polynomials of binomial arrangement

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SUMMARY

The discussion focuses on the application of polynomials in solving binomial distribution problems, specifically in the context of an Excel spreadsheet. Participants clarify the need for Excel to analyze the provided document and address a potential typo regarding "without replacement" versus "without repetition." The conversation emphasizes two scenarios for drawing colored balls: with replacement and without replacement, which are crucial for accurate calculations.

PREREQUISITES
  • Understanding of binomial distribution concepts
  • Familiarity with polynomial equations
  • Proficiency in Microsoft Excel
  • Knowledge of probability theory, specifically replacement scenarios
NEXT STEPS
  • Research the application of polynomials in binomial distribution problems
  • Learn how to use Excel for statistical analysis
  • Explore the differences between sampling with and without replacement
  • Study advanced probability concepts related to binomial distributions
USEFUL FOR

Students, educators, and data analysts interested in probability theory, particularly those working with binomial distributions and statistical analysis in Excel.

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Homework Statement
Important help on the subject of polynomials of binomial arrangement
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Important help on the subject of polynomials of binomial arrangement
[Mentor Note -- Multiple threads merged. @issue -- please do not cross-post your threads]

Hi, everyone
It is known that binomial distribution can also be solved by polynomials. i add document with a question I can not solve.

Glad to get for help

Thanks to all the respondents
 

Attachments

Last edited by a moderator:
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Hi, everyone
It is known that binomial distribution can also be solved by polynomials. i add document with a question I can not solve.

Glad to get for help

Thanks to all the respondents
 

Attachments

Two points of clarification before proceeding:
  1. The attached file requires Excel.
  2. Possible typo. Did you mean "without replacement" instead of "without repetition"?.
If I read the question correctly, the initial equations in the spreadsheet assume replacement of the colored balls after each choice.
 
Point refinement: There are 2 options 1. Take out a ball and return it to the basket 2. Find a ball and do not return it to the basket

By the way thank you very much for the quick response. it's not taken for granted
 
Klystron said:
Two points of clarification before proceeding:
  1. The attached file requires Excel.
  2. Possible typo. Did you mean "without replacement" instead of "without repetition"?.
If I read the question correctly, the initial equations in the spreadsheet assume replacement of the colored balls after each choice.
Point refinement: There are 2 options 1. Take out a ball and return it to the basket 2. Find a ball and do not return it to the basket

By the way thank you very much for the quick response. it's not taken for granted
 

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