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Distributions
discrete variable, discrete probability, binomial, bernouilli, poisson, geometric
10
Mathematics
Undergraduate 2
02/06/2014

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Cards

Term
random variables can be either...
Definition
discrete or continuous
Term
What type of random variable is this?

Let X represent the weight of a randomly selected two litre container of milk in a grocery store
Definition
continuous
Term
What type of variable is this?

Let Z represent the volume of water in a randomly selected 500mL bottle of water
Definition
continuous
Term
To be a valid discrete probability distribution, what conditions must be satisfied?
Definition
Probability of X must be between 0 and 1
The sum of all probabilities of X must be 1
Term
If you conduct an experiment a single time and there are two possible outcomes, what type of distribution would X take on?
Definition
Bernoulli distribution
Term
What are the requirements of a binomial distribution?
Definition
-fixed number of independent trials
-each trial results in one of two possible mutually exclusive outcomes
-the P(success) for any individual trial = p, and does not change from trial to trial
Term
What is a Poisson distribution?
Definition
-the number of occurrences of an event in a given unit if time, area, volume etc.
Term
The Poisson Approximation can be used if...
Definition
n is very and p is very small
Term
What is a geometric distribution?
Definition
the number of trials needed to get the first success in repeated independent bernouilli trials
Term
What type of distribution is this...

The number of tosses needed to get head for the first time in repeated tosses of a coin
Definition
Geometric
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