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The Practice of Statistics - Chapter 6
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Key Concepts:
Terms in this set (17)
Binomial Coefficient
The number of ways of arranging k successes among n observations
Binomial Distribution
The probability distribution of X with parameters n and p
Binomial Random Variable
The count X of successes in a binomial setting
Binomial Setting
Consists of n independent trials of the same process, each resulting in success or failure, with probability of success p on each trial
Continuous Random Variable
Takes all values in an interval of numbers
Discrete Random Variable
Takes a fixed set of possible values with gaps between
Geometric Distribution
Let Y = the number of trials required to get the first success
Geometric Random Variable
The number of trials Y that it takes to get a success in a geometric setting
Geometric Setting
Perform several independent trials of the same chance process and record number of trials until a particular outcome occurs
Independent Random Variables
There is no association between values of one variable and values of the other
Linear Transformation
Involves adding a constant, multiplying by a constant, or both
Mean of a Discrete Random Variable (Expected Value)
Multiply each possible value by its probability, then add all the products
Mean of a Geometric Random Variable
Expected number of trials required to get the first success
Probability Distribution
Gives the possible values of a random variable and their probabilities
Random Variable
Takes numerical values that describe the outcome of some chance process
Standard Deviation of a Random Variable
Measures the average distance from the mean for a given probability distribution.
Variance
The square of the standard deviation
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