Newbetuts

Proving $C_{X}=R_{X}-E\left(X\right)\left(E\left(X\right)\right)^{T}$ where $C_X,R_X$ are the Covariance matrix and Correlation matrix

Show $\mathbb{E}\left[\left|\sum_{i=1}^n X_iY_i\right|\right] \leq 2\mathbb{E}\left[\left|\sum_{i=1}^n Y_i\right|\right]$

What are the odd of a single coin toss after many consecutive ones?

Coupon collector's problem: mean and variance in number of coupons to be collected to complete a set (unequal probabilities)

Joint distribution of range $(R=X_n-X_1)$ and mid-range $(V=\frac{1}{2}(X_1+X_n)$order statistics

Finding the moment generating function of the product of two standard normal distributions

Choose randomly two points $a,b$ over $[0,1]$ find the probability such that $a,b,\frac{1}{2}$ are traingle sides.

Two consecutive zeros in Poisson random variables, and consecutive wins in a binomial setting

Distribution of the difference of two normal random variables.

Expected number of die rolls to get 6 given that all rolls are even.

Magic 8 Ball Problem

Distribution of the number of trials required for the first occurrence of the event 50 S containing at least one SSSSS.

Coupon collector's problem using inclusion-exclusion

coin toss question

Drunkard's walk on the $n^{th}$ roots of unity.

Calculating the distribution of the random variable Y at the output

New posts in probability

Convergence of winning probability in a one-player dice-throwing game

An extrasensory perception strategy :-)

Expected Value of Square Root of Poisson Random Variable

Why do we want probabilities to be countably additive?

Proving $C_{X}=R_{X}-E\left(X\right)\left(E\left(X\right)\right)^{T}$ where $C_X,R_X$ are the Covariance matrix and Correlation matrix

Show $\mathbb{E}\left[\left|\sum_{i=1}^n X_iY_i\right|\right] \leq 2\mathbb{E}\left[\left|\sum_{i=1}^n Y_i\right|\right]$

What are the odd of a single coin toss after many consecutive ones?

Coupon collector's problem: mean and variance in number of coupons to be collected to complete a set (unequal probabilities)

Joint distribution of range $(R=X_n-X_1)$ and mid-range $(V=\frac{1}{2}(X_1+X_n)$order statistics

Finding the moment generating function of the product of two standard normal distributions

Choose randomly two points $a,b$ over $[0,1]$ find the probability such that $a,b,\frac{1}{2}$ are traingle sides.

Two consecutive zeros in Poisson random variables, and consecutive wins in a binomial setting

Distribution of the difference of two normal random variables.

Expected number of die rolls to get 6 given that all rolls are even.

Magic 8 Ball Problem

Distribution of the number of trials required for the first occurrence of the event 50 S containing at least one SSSSS.

Coupon collector's problem using inclusion-exclusion

coin toss question

Drunkard's walk on the $n^{th}$ roots of unity.

Calculating the distribution of the random variable Y at the output