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If $X$ and $Y$ are independent random variables, with $Z = \min(X,Y),$ prove that $Z^2\sim\chi^2(1),$
probability
probability-theory
statistics
probability-distributions
Expected number of triangles in a random graph of size $n$
probability
expectation
random-graphs
Prove $E[XY]=E[YE[X|Y]]$
probability
What does a probability of $1$ mean?
probability
law-of-large-numbers
You have 3 cakes. Everytime you eat one, there's 17% chance the number of cakes is reset to 3. Find average number of cakes eaten?
probability
Minesweeper probability
probability
combinatorics
algebra-precalculus
algorithms
combinatorial-geometry
Why is observing 100 heads for a fair coin flips surprising?
probability
statistics
$X \sim Bin(n,1/2), n-X \sim Bin(n,1/2)$
probability
$\text{MSE}$ as an unbiased estimator for $\sigma^2$ [duplicate]
probability
statistics
proof-explanation
Problem with Gambler's ruin
probability
combinatorics
probability-theory
markov-chains
random-walk
Expected smallest prime factor
probability
prime-numbers
limits
Expectation of gradient in stochastic gradient descent algorithm
probability
statistics
optimization
gradient-descent
Weakly Convergent Subsequence: Iff-Condition?
probability
measure-theory
convergence-divergence
weak-convergence
Can purchase of insurance be justified mathematically? [closed]
probability
finance
actuarial-science
What is the probability that the socks are paired?
probability
combinatorics
Probability for any ball to be picked X times.
probability
permutations
combinations
Probability sum of 5 before sum of 7
probability
summation
mathematical-modeling
dice
independence
The total number of subsets is $2^n$ for $n$ elements
probability
probability-theory
permutations
combinations
Consistency of the estimator $T_n(X)=X_{(n)}$
probability
statistics
convergence-divergence
estimation
Multivariate normal density in Python?
python
numpy
scipy
probability
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