Conditional Binomial Distribution

Thread starter shespuzzling
Start date Oct 27, 2010
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Binomial Binomial distribution Conditional Distribution

AI Thread Summary

To find a conditional binomial distribution, the formula F(k=7|k >= 4) = P(k=7, k>=4)/P(k>=4) is used. This requires calculating the joint probability P(k=7, k>=4) and the marginal probability P(k>=4). The discussion clarifies that P(k=7, k>=4) is equal to P(k=7) since k=7 inherently satisfies k>=4. Thus, the conditional probability simplifies to F(k=7|k >= 4) = P(k=7)/P(k>=4). Understanding these probabilities is essential for correctly applying the conditional binomial distribution in experiments.

Oct 27, 2010

shespuzzling

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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Oct 27, 2010

statdad

Homework Helper

Yup.

Oct 27, 2010

shespuzzling

thanks!

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