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Joint Probability Density Functions under change of variables when one change is identity - meaning of it?

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#probability-theory #probability-distributions #random-variables #density-function #cumulative-distribution-functions
79
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Normalising Constant

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#probability #functions #random-variables #expected-value #density-function
154
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If the joint density of $X$ and $Y$ is given by $f(x,\, y)=30xy^2$ if $x-1\leq y \leq 1-x,\, 0\leq x\leq 1$.

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#probability #probability-distributions #density-function
211
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Deriving the density function of $\frac{X}{Y}$

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#probability #statistics #probability-distributions #eigenvalues-eigenvectors #density-function
53
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Does this simple random variable admit a density?

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#probability #probability-theory #random-variables #density-function
161
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Is this function with values greater than 1 a joint pdf?

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#probability #density-function
46
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A problem on finding conditional PDF

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#probability #random-variables #conditional-probability #density-function
308
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Probability of choosing a point $(X,Y)$ on $\mathbb{R}^2$

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#probability #probability-distributions #random-variables #normal-distribution #density-function
135
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Find $Y=X^2$ from given $f(X)$ and find the $\rho(x,y)$ correlation coefficient

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#probability #probability-theory #probability-distributions #density-function
73
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How to get the marginal distribution by splitting the integral of one of two variables

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#probability-distributions #density-function #marginal-distribution
77
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Integral by parts or composite function integral?

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#integration #density-function
562
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Given probability density $f(x, y)=12xy(1-y)$, find the joint density of $U=XY^2$ and $V=Y$ and the marginals

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#probability #probability-distributions #solution-verification #density-function #bivariate-distributions
23
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Confusion with usage of density function.

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#probability-theory #probability-distributions #uniform-distribution #density-function #cumulative-distribution-functions
27
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joint densities and transformation of random variables

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#probability #density-function
43
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Is there a constant $c$ that $\frac{c}{1+x}$ be a probability density function for $x>0$?

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#probability #density-function

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