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Let $X\sim \exp(\lambda=1)$ and $Y \sim U(1,2) $ two independent random variables; what is the joint distribution function? Compute $P(X>Y)$

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#probability #probability-distributions #random-variables
33
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Is this why I get the PDF of $X$ if I have the PDF of $(X,Y)$

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#probability #probability-theory #probability-distributions #random-variables
56
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Hints find $Z$ so that $n \min\{X_{1},...,X_{n}\}\xrightarrow{d} Z$

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#probability #probability-theory #random-variables #independence
20
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Appropriate terminology for classifying some assumptions

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#probability #probability-distributions #notation #random-variables #terminology
148
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Showing $\mathbb{E}S_{\tau}^2=\mathbb{E}\tau$.

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#probability #probability-theory #random-variables #martingales #random-walk
54
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Finding the probability of a random variable given its expectation

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#probability #random-variables #expected-value
121
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Showing that sequence is a martingale

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#probability #sequences-and-series #probability-theory #random-variables #martingales
111
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Conditional probability of continuous random variable

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#probability #random-variables #conditional-probability
43
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Sequence of random variables and convergence in probability.

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#probability #convergence-divergence #random-variables
75
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Time transformation of random variable with mass points

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#probability #statistics #probability-distributions #random-variables #transformation
166
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Is this sequence the Markov chain?

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#random-variables #markov-chains
326
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Centered and bounded implies subgaussian

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#probability #probability-theory #statistics #random-variables #cryptography
447
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Expected value of the norm of a centered vector.

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#probability #probability-theory #statistics #random-variables
92
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Convergence of sequence of uniforms

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#probability #convergence-divergence #random-variables #weak-convergence #uniform-distribution
98
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What makes statistical distributions so unique?

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#statistics #random-variables

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