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22 Cards in this Set
- Front
- Back
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What is the cumulative distribution function?
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F(x)= P(X <= x)
expresses the probability that X does not exceed the value of x, as a function of x |
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What is the probability of a range?
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the probability that X lies between a and b
P(a < X < b)= F(b) - F(a) |
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What is the probability density function?
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F(x 0)= integral of F(x)dx
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What is the cumulative distribution function for a standard normal distribution?
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P(a < Z < b)=F(b)-F(a)
when Z in a (0,1) normal |
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What would be the answer for any number less or equal to?
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Looking at that chart the number corresponding to the x.
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What is the answer for any number equal to or greater than?
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Looking at the chart, 1-that number.
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What is the answer for the area in between?
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Looking at the chart, F(b)-F(a)
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What is the answer for a number less than or equal to a negative?
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Looking at the chart, 1-the positive of the number
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What is the answer to a number greater than or equal to a negative?
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Looking at the chart, the answer corresponding to its positive
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What is the answer to an area between a negative and a positive number?
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Looking at the chart, add the two corresponding numbers then take the answer and subtract it from 1.
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What is the answer for any number equal to or greater than?
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Looking at the chart, 1-that number.
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What is the answer for the area in between?
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Looking at the chart, F(b)-F(a)
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What is the answer for a number less than or equal to a negative?
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Looking at the chart, 1-the positive of the number
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What is the answer to a number greater than or equal to a negative?
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Looking at the chart, the answer corresponding to its positive
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What is the answer to an area between a negative and a positive number?
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Looking at the chart, add the two corresponding numbers then take the answer and subtract it from 1.
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What is the cumulative distribution function?
|
F(x)= P(X <= x)
expresses the probability that X does not exceed the value of x, as a function of x |
|
|
What is the probability of a range?
|
the probability that X lies between a and b
P(a < X < b)= F(b) - F(a) |
|
|
What is the probability density function?
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F(x 0)= integral of F(x)dx
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What is the cumulative distribution function for a standard normal distribution?
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P(a < Z < b)=F(b)-F(a)
when Z in a (0,1) normal |
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What would be the answer for any number less or equal to?
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Looking at that chart the number corresponding to the x.
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What is the formula to convert a range to a normal (0,1)
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Z= x-μ/σ
The variance is squared. We need the square root. |
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What is the formula for an area in between Z?
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F(b-μ/σ)-F(a-μ/σ)
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