Binomial Distribution Homework: Equations and Solutions

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SUMMARY

The discussion focuses on solving homework problems related to the Binomial Distribution, specifically deriving the conditional probability formula f(k) for k = 2, 3, ..., n and calculating the expected value E(X | X ≥ 2). The participants emphasize the importance of understanding the relationship between the parameters n (number of trials) and p (probability of success) in determining the standard deviation σ. The provided links to homework statements and answers serve as references for the equations discussed.

PREREQUISITES
  • Understanding of Binomial Distribution concepts
  • Familiarity with conditional probability
  • Knowledge of expected value calculations
  • Basic statistics terminology, including parameters n and p
NEXT STEPS
  • Study the derivation of the Binomial Distribution formula
  • Learn about conditional probability and its applications
  • Explore the calculation of expected values in probability distributions
  • Investigate the relationship between standard deviation and Binomial parameters n and p
USEFUL FOR

Students studying probability and statistics, educators teaching Binomial Distribution concepts, and anyone seeking to understand conditional probabilities and expected values in statistical analysis.

planauts
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Homework Statement


http://puu.sh/epl6
Answer
http://puu.sh/eplm


Homework Equations





The Attempt at a Solution


No clue on how to attempt this problem. Any help would be appreciated, thanks!
 
Last edited by a moderator:
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planauts said:

Homework Statement


http://puu.sh/epl6
Answer
http://puu.sh/eplm


Homework Equations





The Attempt at a Solution


No clue on how to attempt this problem. Any help would be appreciated, thanks!

(a) What is the formula for [itex]f(k) \equiv \Pr\{X = k|X \geq 2 \},[/itex] for k = 2, 3, ...,n? Then [itex]E(X | X \geq 2) = \sum_{k=2}^n k f(k),[/itex] and you ought to be able to get the cited formula from this.
(b) What is the formula for σ in terms of n and p? Look at it carefully.

RGV
 
Last edited by a moderator:

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