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Suppose the probability density function is f(x), defined over a domain D
Then the mean is E(X) = x*f(x) integrated with respect to x over D.
Calculate E(X2) = x2*f(x) integrated with respect to x over D.
Then Variance(X) = E(X2) - [E(X)]2
and Standard Deviation = sqrt(Variance).
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How do you generate a Gaussian bell shape graph when you have a mean and standard deviation and absolutely no other data?
The Gaussian "Bell" Curve has probability density function: f(x)= exp{-((x-mu)2/(2*sigma2)) } / (sigma*sqrt(2*pi)) where mu=mean & sigma=standard deviation
How do you convert a beta probability density function to a beta frequency distribution?
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Probability Density Function
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What is the difference between a probability mass function and a probability density function?
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
Is probability density function and gaussian distribution function are same?
yes, h=1/sigma(standard deviation)
How do you generate a Gaussian bell shape graph when you have a mean and standard deviation and absolutely no other data?
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Could f be a probability density function?
No. f is a letter of the Roman alphabet. It cannot be a probability density function.
What is the difference between probability distribution and probability density function?
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
How do you convert a beta probability density function to a beta frequency distribution?
probability density distribution
How do you solve if a population has a mean of μ80 and a standard deviation of σ20?
The question gives summary statistics for a population. If the underlying distribution is Gaussian, or some other known distribution, then the probability density function can be calculated. Even so, there is no question and so nothing to "solve".
What pdf stands for in statistics?
Probability Density Function
Steps for how to do a z-score problem in statistics?
If you have a variable X distributed with mean m and standard deviation s, then the z-score is (x - m)/s. If X is normally distributed, or is the mean of a random sample then Z has a Standard Normal distribution: that is, a Gaussian distribution with mean 0 and variance 1. The probability density function of Z is tabulated so that you can check the probability of observing a value as much or more extreme.
How do you find the probability density function?
The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function). More material on density functions can be found by following the links below.
What is the difference between a probability density curve and cummulative distribution function?
what is density curve
What best describes the distribution of the data?
A probability density function.
What is the difference between a probability mass function and a probability density function?
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
