
How can a probability density function (pdf) be greater than
Mar 30, 2016 · The probability density function (PDF) represents the likelihood of a random variable falling within a specific interval. While the height of the PDF at a particular point might …
Why do continuous random variables have densities?
Mar 2, 2018 · A continuous random variable will have a continuous cumulative distribution function. If the CDF is differentiable then that gives the density, and introductory probability …
how to derive the mean and variance of a Gaussian Random …
How do we go about deriving the values of mean and variance of a Gaussian Random Variable X given its probability density function ?
Jacobian Transformations of Two Random Variables ( probability …
Jan 9, 2021 · Jacobian Transformations of Two Random Variables ( probability density function) Ask Question Asked 5 years ago Modified 5 years ago
Precise definition of the support of a random variable
Now, applying this definition to our random variable X X, these lectures notes say: Random Variables – A random variable is a real valued function defined on the sample space of an …
Finding the mean and median of a probability density function
I need to find the mean and median of a continuous random variable that has a probability density function of: f(x) = 2x−3 f (x) = 2 x 3 for x> 1 x> 1 I know that this involves working out integrals …
Change of variable in a probability density function
In Bishop's Pattern Recognition and Machine Learning, I'm confused by the section on the change of variable of a probability density function. The paragraph concerned is bellow.
What does it mean that a random variable has "Lebesgue density"?
Sep 3, 2023 · I've been looking into Lebesgue measures but I cannot find a definition of what it means that a random variable has Lebesgue density given by some formula. For example a …
probability - Finding the Marginal Distribution of Two Continuous ...
Aug 25, 2015 · You have been given the joint density function, $f_ {X,Y} (x,y)$, and the support for this function, $0\leq x\leq 2, 0\leq y\leq 1$. To obtain the marginal density functions, you …
Write an equation for density, using the variables provided
Write an equation for density, using the variables provided Ask Question Asked 8 years, 11 months ago Modified 3 years, 5 months ago