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What do theta and sigma represent in a Cauchy distribution?
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What distribution only has two possible outcomes? (i.e. 1, 0)?
Bernoulli Distribution
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Binomial Distribution PMF:
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Binomial Distribution CDF:
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Describe a binomial experiment:
- A binomial experiment involves a sequence of n (a fixed number) independent and identical
- Bernoulli trials with probability of success p (which is constant across trials, as they are
- identical).
- ***Let Y = # of successes from the n trials.*** Then Y is a binomial random variable,
- Y ∼ Bin(n, p).
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What indicates a large sample in a Binomial distribution?
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Geometric Distribution PMF:
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Geometric Distribution CDF:
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Negative Binomial Distribution PMF:
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Distributions based off of Bernoulli trials?
- Geometric Distribution
- Binomial Distribution
- Negative Binomial Distribution
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What is the difference between a Binomial distribution and a Negative Binomial distribution?
- Binomial: #of successes
- Negative Binomial: # of trials until the rth success
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In a negative binomial distribution, what happens when r=1?
we get the Geom(p)
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Poisson Distribution PMF:
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Poisson Distribution CDF:
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Hypergeometric Distribution PMF:
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Hypergeometric Distribution CDF:
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What sort of distribution is this an example of:
Example: Consider Y = the number of 911 calls received in an hour by a phone operator.
Under quite a few assumptions and considering that the average number in an hour is 4.6
Poisson Distribution
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What sort of distribution is this an example of:
Example: A shipment of 100 items is examined by testing 3 randomly selected items. Suppose in truth that 8 items are defective.
Hypergeometric Distribution
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Formulas related to a Hypergeometric Distribution:
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