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AP Statistics
Unit 4 – Probability, Random Variables, and Probability Distributions
Topic 4.10
Can drawing ten cards from a deck without replacement and counting the number of black cards be modeled by a binomial random variable?
No, because it is not clear what result counts as a success and what counts as a failure.
Yes, because each card draw can only result in one of two possible outcomes (black or non-black).
No, because drawing without replacement violates the requirement of independence for a binomial random variable.
Yes, because there are a fixed number of trials (ten card draws).
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AP Statistics - 4.10 Introduction to the Binomial Distribution
Key terms
Binomial Random Variable
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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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