Statistics Flash Cards
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Random Variable Definition
A variable that takes on different numerical values based on chance
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Discrete Random Variable Definition
A random variable that can only assume a finite number of values or an infinite sequence of values such as 0,1,2,3....
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Continuous Random Variables Definition
Random variables that can assume any vallue in an interval.
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Expected Value Definition
The mean of a probability distribution. the average value when the experiment that generates values for the random variables is repreated over the long run.
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Binomial Probability Distribution characteristics Definition
A distribution that gives the probability of x successes in n trials in a process that meets certain conditions.
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Binomial Prob. Dist. characteristics #1 Definition a trial has only two possible outcomes; a success or a failure.
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Binomial Prob. Dist. characteristics #2 Definition
There is a fixed number, n, identical trials.
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Binomial Prob. Dist. characteristics #3 Definition
The trials of the experiment are independent of each other. this means that if one outcome is a success, this does not influence the chance of another outcome being a success.
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Binomial Prob. Dist. characteristics #4 Definition
The process must be consistent in generating successes and failures. that is, the probability. p, associated with a success remains constant from trial to trial.
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Binomial Prob. Dist. characteristics #5 Definition if p represents the probability of a success, then (1-p) = q is the probability of a failure.
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Hypergeometric distribution Definition is formed by the ratio of the number of ways an event of interest can occur over the total number of ways any event can occur.
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The binomial Dist. is useful when... Definition it is useful when the value of a discrete random variable is based on independent trials and when on a given trial
Random Variable Definition
A variable that takes on different numerical values based on chance
Term
Discrete Random Variable Definition
A random variable that can only assume a finite number of values or an infinite sequence of values such as 0,1,2,3....
Term
Continuous Random Variables Definition
Random variables that can assume any vallue in an interval.
Term
Expected Value Definition
The mean of a probability distribution. the average value when the experiment that generates values for the random variables is repreated over the long run.
Term
Binomial Probability Distribution characteristics Definition
A distribution that gives the probability of x successes in n trials in a process that meets certain conditions.
Term
Binomial Prob. Dist. characteristics #1 Definition a trial has only two possible outcomes; a success or a failure.
Term
Binomial Prob. Dist. characteristics #2 Definition
There is a fixed number, n, identical trials.
Term
Binomial Prob. Dist. characteristics #3 Definition
The trials of the experiment are independent of each other. this means that if one outcome is a success, this does not influence the chance of another outcome being a success.
Term
Binomial Prob. Dist. characteristics #4 Definition
The process must be consistent in generating successes and failures. that is, the probability. p, associated with a success remains constant from trial to trial.
Term
Binomial Prob. Dist. characteristics #5 Definition if p represents the probability of a success, then (1-p) = q is the probability of a failure.
Term
Hypergeometric distribution Definition is formed by the ratio of the number of ways an event of interest can occur over the total number of ways any event can occur.
Term
The binomial Dist. is useful when... Definition it is useful when the value of a discrete random variable is based on independent trials and when on a given trial