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The Binomial Distribution
1. There are n set trials, known in advance
2. Each trial has two possible outcomes
(success/failure).
3. Trials are independent of each other.
4. The probability of success, p, remains constant
from trial to trial.
5. The random variable, Y, is the number of
successes out of the n trials.
Note: p vs. “conditional p”
The Binomial Distribution
Probability Mass Function
Expected Value & Variance
The Hypergeometric
Distribution
All but condition 3 of the Binomial
Conditions hold. (Without replacement)
Probability Mass Function
Expected Value & Variance
The Negative Binomial
Distribution
All but condition 1 and 5 of the Binomial
Conditions hold.
Probability Mass Function
Expected Value & Variance
Activity Development
Motivation
Students appeared to conceptually “get it”.
Anecdotal evidence suggested that they
could not recognize the differences in
context.
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