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Integrating $f_{XY}(x,y) = \frac{2}{1-x}\boldsymbol{1}_{y\in(0, 1-x), x \in(0, 0.5)}$ over $x$

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#probability #probability-distributions #density-function
173
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Intuition about the definition of Probability Density Function

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#probability #probability-theory #statistics #intuition #density-function
50
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How to get the pdf of this transformation $Y=|X|$?

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#probability #statistics #probability-distributions #density-function
164
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Aproximation of the Normal Distribution by the Normal Density Function

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#probability-theory #probability-distributions #normal-distribution #density-function #probability-limit-theorems
220
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How to find the maximum height of a launched projectile

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#probability-distributions #density-function #projectile-motion
44
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How to find the marginal density $f(y)$ for the following figure?

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#density-function
709
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Find the joint probability density function of transformations, the answer incorrect. What is my mistake?

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#probability #probability-distributions #density-function #change-of-variable
29
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Find the Probability density function of a mean random variable

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98
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Given $X \sim \exp(1)$ find the probability density function of $Y = g(X)$

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#probability #probability-distributions #density-function #cumulative-distribution-functions
26
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Estimate Expected Value with Density Bound

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Given $X\sim\text{Unif}(0,2\pi)$, find the probability density function of $Y = \sin(X)$

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35
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Confused about marginal density

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#density-function
240
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Calculating the Expected Value of a Probability Density Function (steps)

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#integration #statistics #expected-value #density-function
171
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Show property of exponential families

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#derivatives #probability-distributions #expected-value #density-function
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Sum of two Gaussian PDFs

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#probability #random-variables #normal-distribution #density-function

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