List of top Statistics Questions on Mathematical statistics

Find the limit of \( \left(1 + \frac{1}{n}\right)^n \) as \(n \to \infty\).
In a negatively skewed distribution, what is the correct relationship between the Mean, Median, and Mode?
What is the value of the integral \( \displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx \)?
If the correlation coefficient between \(X\) and \(Y\) is \(0.8\), what is the coefficient of determination?
In Simple Random Sampling Without Replacement (SRSWOR), what is the probability of selecting a specific unit at the second draw?
Which property of an estimator is satisfied if its expected value equals the population parameter?