Continuous Random Variable

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14 Terms

1
Continuous Random Variable
Take on any value inside an interval (bounded or unbounded)
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2
Probability Density Function
Characterized by the graph of a smooth continuous function f(x) satisfying 1) the total area under the curve f(x) and above the x-axis is equal to 1 and 2) f(x) ≥ 0, for all possible values of x.
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3
RV has a higher chance of taking values near --- than near ---.
x;y
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4
Probability is always represented by…
the area under the curve.
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5
Continuous Uniform Distribution
Defines equal probability over a given range. Rectangular distribution.
Defines equal probability over a given range. Rectangular distribution.
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6
Normal Distribution
The most important of all the distributions.
The most important of all the distributions.
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7
Properties of Normal Distribution
Symmetric about the mean. Different mean and standard deviation corresponds to different distribution.
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8
The smaller the standard deviation…
the narrower the curve.
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9
A change in the standard deviation causes a change in…
the shape of the curve.
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10
A change in the mean causes the graph to…
shift to the right or left.
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11
A positive z score means that…
your x value is greater than the mean.
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12
A negative z score means that…
your x values is less than the mean.
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13
A z score of zero means…
that your x value is equal to the mean.
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14
Standard normal distribution always has…
a fixed mean and standard deviation.
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