Conditional Binomial Distribution

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SUMMARY

The discussion focuses on calculating the conditional binomial distribution, specifically determining the probability of k=7 given that k is greater than or equal to 4. The formula presented is F(k=7|k >= 4) = P(k=7, k>=4) / P(k>=4). It is confirmed that this can be simplified to P(k=7) / P(k>=4) under certain conditions. This clarification is essential for accurately applying the conditional probability in binomial experiments.

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  • Understanding of binomial distribution concepts
  • Familiarity with conditional probability
  • Knowledge of probability notation and terminology
  • Basic statistical analysis skills
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Statisticians, data analysts, and students in statistics or probability courses who need to understand conditional distributions and their applications in real-world scenarios.

shespuzzling
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How do I find a conditional bionomial distribution? For example, if I want the probability that k=7 (for instance, 7 could be any number depending on the experiment), given that k is greater/equal to 4. I know what the equation would look like

i.e.: F(k=7|k >= 4)= P(k=7, k>=4)/P(k>=4). Then, would this be equal to P(k=7)/P(k>=4)? Thanks in advance for your help.
 
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