List questions from probability-distributions

Published on 16 Apr 2026 - 9:41

38

Views

$X,Y,Z$ be real-valued i.i.d. If $X=U(Y+Z)$ where $U$ is uniform on [0,1] what is the distribution of $X$?

Published on 14 Apr 2026 - 8:31

83

Views

Show $\sqrt{2}{n^3}\sum_{k=1}^n kX_k \to N(0,1)$ in distribution where $P(X_k=\pm 1)=1/2$

Published on 26 Mar 2026 - 12:53

680

Views

Finding Variance of Piecewise Function of Two Random Variables

Published on 17 Apr 2026 - 4:46

55

Views

Expectation involving normal random matrices

Published on 13 Apr 2026 - 16:49

55

Views

To show continuity of a inverse distribution function

Published on 14 Apr 2026 - 13:35

36

Views

Probability distribution in $L_p$

Published on 11 Apr 2026 - 22:14

147

Views

Probability Question (Bayes' theorem)

Published on 12 Apr 2026 - 11:37

116

Views

Expected proportion of distinct observations when sampling $N$ observations with replacement

Published on 13 Apr 2026 - 22:14

35

Views

basic probability - mean squared error between guesses

Published on 15 Apr 2026 - 8:16

40

Views

Problem about piecewise CDF function

Published on 09 Apr 2026 - 13:28

161

Views

Calculate expected value and variance of a t-student distribution without using density function

Published on 10 Apr 2026 - 23:21

21

Views

Consistent probability of a statement, regardless of new evidence

Published on 10 Apr 2026 - 0:26

131

Views

linear combination of infinitely divisible random variables II

Published on 26 Mar 2026 - 12:52

92

Views

Modulo addition of independent random variables

Published on 13 Apr 2026 - 7:39

List Question

Showing $X$ is standard normal when $X$ has the same distribution as $\frac{X_1+X_2}{\sqrt{2}}$

$X,Y,Z$ be real-valued i.i.d. If $X=U(Y+Z)$ where $U$ is uniform on [0,1] what is the distribution of $X$?

Show $\sqrt{2}{n^3}\sum_{k=1}^n kX_k \to N(0,1)$ in distribution where $P(X_k=\pm 1)=1/2$

Finding Variance of Piecewise Function of Two Random Variables

Expectation involving normal random matrices

To show continuity of a inverse distribution function

Probability distribution in $L_p$

Probability Question (Bayes' theorem)

Expected proportion of distinct observations when sampling $N$ observations with replacement

basic probability - mean squared error between guesses

Problem about piecewise CDF function

Calculate expected value and variance of a t-student distribution without using density function

Consistent probability of a statement, regardless of new evidence

linear combination of infinitely divisible random variables II

Modulo addition of independent random variables

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