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random variables can be either... |
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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 |
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What type of variable is this?
Let Z represent the volume of water in a randomly selected 500mL bottle of water |
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To be a valid discrete probability distribution, what conditions must be satisfied? |
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Definition
Probability of X must be between 0 and 1 The sum of all probabilities of X must be 1 |
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If you conduct an experiment a single time and there are two possible outcomes, what type of distribution would X take on? |
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What are the requirements of a binomial distribution? |
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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 |
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What is a Poisson distribution? |
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-the number of occurrences of an event in a given unit if time, area, volume etc. |
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The Poisson Approximation can be used if... |
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n is very and p is very small |
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What is a geometric distribution? |
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Definition
the number of trials needed to get the first success in repeated independent bernouilli trials |
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What type of distribution is this...
The number of tosses needed to get head for the first time in repeated tosses of a coin |
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