Per48edjes
• Member for 5 years, 9 months

### Questions (6)

 2 "Story" proof for $\frac{(2n)!}{2^nn!}=(2n-1)(2n-3)\cdots3\cdot1$ 1 Why is $\text{Var(}\text{min}(X, Y)) = \text{Var(}\text{max}(X, Y))$ for $X, Y \stackrel{\text{i.i.d}}{\sim} \mathcal{N}(0,1)$? 1 Why is $\frac{X}{Y} = \frac{X}{\vert Y \rvert}$ for $X, Y \stackrel{\text{i.i.d}}{\sim} \mathcal{N}(0,1)$? 1 Find CDF of $U^2$ where $U\sim{}\text{Unif}(-1,1)$. How am I misapplying Universality of the Uniform? 0 Marginalizing joint PDF of $X, Y$ which is uniform over triangle bounded by ${(0, 0),(0, 1),(1,0)}$. Is solution incorrect?

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### Answers (2)

 1 There's 8 black balls and 7 white balls. 3 of the balls are drawn at random. Probability of drawing 2 of one color and 1 of the other color? 0 Two chess players, A and B, are going to play 7 games. There are three possible outcomes for each game, A wins, A loses, or Tie

### Tags (12)

 1 probability × 6 0 uniform-distribution 1 combinatorics × 3 0 variance 0 probability-distributions × 2 0 expected-value 0 probability-theory 0 finance 0 solution-verification 0 integration

### Bookmarks (4)

 1169 Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio? 91 Implies ($\Rightarrow$) vs. Entails ($\models$) vs. Provable ($\vdash$) 73 Intuition behind using complementary CDF to compute expectation for nonnegative random variables 16 Prove $SST=SSE+SSR$

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