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Mathematics
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tommik
  • Member for 4 years, 2 months
  • Last seen more than 2 years ago
  • Micondo, São Tomé e Príncipe
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1,641 Answers

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14 votes
Accepted

Why is the probability of getting a pair in a five-card poker hand so complicated?

10 votes
Accepted

Random variable does not have an expectation

7 votes
Accepted

Expectation of negative binomial distribution

6 votes
Accepted

Find $\mathbb{E}(X_1^4X_2^2)$ where $(X_1,X_2)$ is bivariate normal

6 votes

How to prove the ‘covariance inequality’ for discrete random variables?

6 votes

What is the formal definition of "probability distribution"?

6 votes

General solution to: Two players alternately flip a coin which may be biased: What is the probability of winning by getting a head?

6 votes
Accepted

Why Geometric distribution has different expectations but the same variance?

6 votes
Accepted

Calculate the following limit using the Central Limit Theorem

5 votes
Accepted

Integrating joint density

5 votes
Accepted

How to prove $X_n =e^{aS_n-bn} \to 0$ a.s.(where $S_n$ is the sum of standard normal random variables)?

5 votes

I'm stuck solving this question (trying to proof it using WLLN).

5 votes

What is the probability that the sequence “broken, good, good, broken, good” occurs in the next $5$ bottles?

5 votes
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Is the new vaccine better?

5 votes
Accepted

Hypothesis Testing show LRT is Chi-Square test

5 votes

Exponential distribution probability calculation

5 votes
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Uniformly at random, break a unit stick in two places. What is the probability that the smallest piece is $\leq 1/5$?

5 votes
Accepted

Double Integral of absolute value

5 votes
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When throwing a die $3$ times, what is the probability of the product of the three results being a multiple of $9$?

5 votes

How to find the expectation of $\log x$？

5 votes

Let $Z_1,Z_2,Z_3$ be independent standard normal variables. Find their joint pdf and $P(Z_3>Z_1+Z_2)$.

5 votes

Calculate the integral $\int_0^{\infty} x^{11} e^{-x^3}dx$

4 votes
Accepted

Find $\mathbb{E}(X)$ and Var$(X)$ from the c.d.f.

4 votes
Accepted

What is the probability of the second card being red after we know that the first card is not a heart ??

4 votes

Given $e^{-5}\frac{5^n}{n!}=e^{-5}\frac{5^{n+1}}{(n+1)!},$ find the value of $n$

4 votes

Expected value of the sum of two dice.

4 votes

Probability density function of a Gamma random variable plus a constant

4 votes
Accepted

How do I compute this integral without Γ?

4 votes

Expectation of sample variance

4 votes

limits of marginal probability of polar coordinate probability

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