# V. C.

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 7 True or False. Convergent subsequence 7 If $X \sim N(0,1)$, why is $E(X^2)=1$? 5 Meaning of a set in the exponent 4 Probability of touching a specific ball at least once in 100 tries from a box of 100 well mixed balls. 4 Show that the function $f(\textbf{x}) =|\textbf{x}|$ is continuous on $\mathbb{R}^n$

# 2,050 Reputation

 +10 A Hölder-looking inequality of random variables +30 Is this series absolutely convergent? +10 Determining the value of c in a geometric distribution example +10 Probability of touching a specific ball at least once in 100 tries from a box of 100 well mixed balls.

# 6 Questions

 4 Kolmogorov continuity theorem for Banach space valued random processes 2 How to prove that if $\sum|a_j|<\infty$, then $\sum|a_j|\log(|a_j|^{-1})<\infty$ 2 Moment and tail probability inequality 1 Equality in the Cauchy-Bunyakowsky-Schwarz inequality for a semi-inner product 1 Square of a series

# 46 Tags

 40 probability × 30 14 probability-theory × 16 28 sequences-and-series × 16 12 limits × 7 21 calculus × 11 11 convergence × 9 20 statistics × 11 8 probability-distributions × 7 19 real-analysis × 10 8 expectation × 3

# 5 Accounts

 Mathematics 2,050 rep 1616 Cross Validated 101 rep Ask Ubuntu 101 rep 1 Music: Practice & Theory 101 rep 1 MathOverflow 101 rep 1