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Why $P(a \leq X < b) = P(a < X \leq b) = P(a < X < b) = P(a \leq X \leq b)$?

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#probability #probability-distributions #random-variables #density-function
997
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What is missing in my solution of "from PDF to CDF and $P(X > 0.5)$"?

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#probability #probability-distributions #density-function
856
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How do I define probability space $(\Omega, \mathcal F, \mathbb{P})$ for continuous random variable?

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#probability #probability-theory #metric-spaces #random-variables #density-function
38
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moment generating function , for iid

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#probability #density-function #moment-generating-functions
47
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How do I find a constant k that would result in a valid PDF?

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#integration #density-function #multiple-integral
26
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Probability density function (for which $a,b$)

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#probability #expected-value #density-function
2.7k
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Find pdf of $Z^2$ if $Z\sim N(0,1)$

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#probability #probability-distributions #density-function #moment-generating-functions
423
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How to see a function is Gaussian

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#probability-distributions #normal-distribution #density-function #gaussian-integral
38
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Does exist other techniques for finding PDF/CDF from relation between random variables?

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#probability #probability-theory #probability-distributions #random-variables #density-function
98
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Convolution exponential uniform. Can anyone help please?

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#probability #probability-theory #probability-distributions #density-function
170
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Calculating mass, having a density (as a function) and a volume

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#integration #density-function
455
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Is this distribution already known and has a name?

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#probability #probability-distributions #terminology #normal-distribution #density-function
1.4k
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Joint Probability Distribution Problem (drawing balls from an urn)

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#probability #statistics #density-function #cumulative-distribution-functions
32
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Comparing two Standard Normal Correlated Variables

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#normal-distribution #density-function #correlation #cumulative-distribution-functions
700
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How to generate random variables given the PDF?

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#statistics #probability-distributions #density-function

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