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Uniform Distribution definitions
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Continuous Random Variable
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Continuous Random Variable
Can take any value within a range, represented by a probability density function, with infinitely many possible values.
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Termini in questo insieme (15)
Nascondere definizioni
Continuous Random Variable
Can take any value within a range, represented by a probability density function, with infinitely many possible values.
Discrete Random Variable
Has a set of distinct values, often shown in a table or bar graph, with gaps between possible values.
Probability Density Function
Describes how probability is distributed over a range of values for a continuous random variable.
Uniform Distribution
A distribution where every value within a specified range has the same probability density.
Probability
Represents the likelihood of an event, calculated as area under the curve for continuous variables.
Area Under the Curve
Corresponds to the probability for a continuous random variable within a given interval.
Range
The interval of possible values a random variable can assume, such as between zero and six.
Height
The value of the probability density function at a specific point, constant in uniform distributions.
Width
The length of the interval over which probability is calculated for continuous random variables.
Total Probability
The sum of probabilities for all possible outcomes, always equal to one for any probability distribution.
Rectangle
The shape formed under the probability density function in uniform distributions, used to calculate area.
Interval
A segment of the range, such as between one and three, used to determine probability for continuous variables.
Infinite Possibilities
Characteristic of continuous random variables, where there are uncountably many values within any range.
Graph
Visual representation of probability distributions, with bars for discrete and shaded regions for continuous variables.
Table
Organizes possible values and their probabilities for discrete random variables.