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$X\sim N(\mu,\sigma^{2})$. It is also known that $P(X ≤ 160) = \frac{1}{2}$ and $P(X ≤ 140) = \frac{1}{4}.$ What are the values of $µ$ and $σ$?

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$X\sim N(\mu,\sigma^{2})$. It is also known that $P(X ≤ 160) = \frac{1}{2}$ and $P(X ≤ 140) = \frac{1}{4}.$ What are the values of $µ$ and $σ$?

Random variable defined on the IID taken from cauchy distribution

Efficient computation of $E\left[\left(1+X_1+\cdots+X_n\right)^{-1}\right]$ with $(X_i)$ independent Bernoulli with varying parameter

Average number of times it takes for something to happen given a chance

Finding a CDF given a PDF

Is it better to play $\$1$ on $10$ lottery draws or $\$10$ on one lottery draw?

Bags with balls - Combinatorial Optimization of Probability problem

Variance of the random sum of a Poisson?

Given two randomly chosen natural numbers, what is the probability that the second is greater than the first?

Expected value of steps taken to hit +1 on a 1D integer random walk given you start from zero?

Joint Probability density function given as follows $f(x,y)=30xy^2$ if $ x-1\leq y\leq 1-x , 0\leq x\leq 1$ [closed]

Is my proof for $Y_n \overset{\text{$\Bbb P$}}\longrightarrow Y$ correct ? Expected Value and Variance are given

conditional probability of knowledge given a correct selection among n alternatives. Exercise from Pfeiffer

How to evaluate Binomial(X,Y)? [closed]

Markov Decision Process

Prove that random variables satisfy the inequality $E(XY)^2 \le E(X^2)E(Y^2)$?