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Apr
22
comment What is the probability that out of a deck of 16 cards that you will be dealt 2 cards with the same number?
Please "briefly explain your attempted reasoning".
Apr
20
answered Trying to understand the behaviour of i.i.d.
Apr
20
revised Is the product of exponents of normal iid variables a martingale?
edited tags; edited title
Apr
20
comment Is the product of exponents of normal iid variables a martingale?
For some value of $\mu$. What have you tried?
Apr
20
revised The maximum and minimum of five independent uniform random variables
added 774 characters in body
Apr
20
answered The maximum and minimum of five independent uniform random variables
Apr
17
awarded  Necromancer
Apr
15
comment Dice roll probability, at least 9 total?
Checking your answer is easy with Mathematica: Probability[x + y >= 9, Distributed[{x, y}, DiscreteUniformDistribution[{{1, 6}, {1, 6}}]]] gives $\frac{5}{18}$.
Apr
15
answered How do I compute $P(X=Y)$? for independent random variables with with geometric distribution.
Apr
15
revised Galois theory about automorphisms of the field of rational functions
edited title
Feb
19
awarded  Good Answer
Feb
15
revised find the distribution of $Y=\lceil X/2\rceil$ while $X$ distribution is geometric?
added 1 character in body; edited title
Feb
15
answered find the distribution of $Y=\lceil X/2\rceil$ while $X$ distribution is geometric?
Jan
29
answered Cylindrical limits of integration for a particular triple integral
Jan
29
answered Seating arrangement probabilites
Jan
28
comment An integral with respect to the Haar measure on a unitary group
I used Mathematica. Define matrix $H$: hmat = Exp[I a/2] Table[WignerD[{1/2, m1, m2}, psi, th, phi], {m1, -1/2, 1/2}, {m2, -1/2, 1/2}]; Now define Haar measure weight measure[psi_, th_, phi_] := Abs[Sin[th]] 1/(4 (2 Pi)^3);. Check that it is normalized. Now evaluate Integrate[Det[DiagonalMatrix[{a1, a2}]-hmat.DiagonalMatrix[{d1, d2}].ConjugateTranspose[hmat]] measure[psi, th, phi], {th,0,2 Pi}, {psi,0,2 Pi}, {phi,0,2 Pi}, {a, 0, 2 Pi}], which gives $ \det(A-D) - \frac{1}{2} \left(A_{1,1}-A_{2,2}\right)\left(D_{1,1}-D_{2,2}\right)$.
Jan
28
comment An integral with respect to the Haar measure on a unitary group
If it helps, for $n=2$ the integral evaluates to $2 \det(A-D) - \left(A_{1,1}-A_{2,2}\right)\left(D_{1,1}-D_{2,2}\right)$.
Jan
26
comment Relation between convergence in distribution and in probability
Just to be clear $X \sim Y$ denotes $X \stackrel{\mathrm{law}}{=} Y$, i.e. equality in distribution (law).
Jan
24
awarded  Enlightened
Jan
24
awarded  Nice Answer