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# 21 Accepts

 Sep13 accepted How do we identify a probability problem as a conditional probability problem? Dec16 accepted Is the skill to learn new math by reading textbook alone (no lectures) required when one becomes a PhD student? Nov28 accepted How to integrate $\int_{-\infty}^\infty e^{\frac{-(x-y)^2}{2}} dx$ Nov26 accepted How is $e^x$ related to its probability density function $\lambda e^{-\lambda x} (x>0)$? Nov26 accepted Is it possible to do this Poisson problem in Binomial? Nov25 accepted Moment generating function: why is $\int_{-\infty}^{\infty}\frac{1}{\sqrt{2\pi}}e^\frac{-(z-t)^2}{2} dz = 1$ Nov21 accepted I don't understand why $X = \sum_{i=1}^n X_i$ and $Y = \sum_{i=1}^n Y_i$ Nov18 accepted Why is $\operatorname{Var}(X+Y) = \operatorname{Cov}(X,X) + \operatorname{Cov}(X,Y) + \operatorname{Cov}(Y,X) + \operatorname{Cov}(Y,Y)$ Nov15 accepted Does SSTR (sum of squares for treatments) = SSR (regression sum of squares)? Oct25 accepted What is the $P( |X-10| > 2)$ of a normal distribution when mean is 10, and standard deviation is 6? Oct18 accepted Why is the greatest and least values for each group in these 2 frequency distribution unknown? Oct17 accepted Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$ Oct11 accepted By convention $P[X=x] = 0$ for all x. How would you explain pdf $f(x) =3x^2$ (where x is between 0 and 1) when x =0.9 Oct9 accepted Why does negative binomial random variable uses ${n-1 \choose r-1}$ instead of ${n \choose r}$ as coefficient? Oct7 accepted Why can we use poisson distribution in this case? the n is very small!! Oct5 accepted Performing hypothesis test for the difference of population means: paired comparisons Sep22 accepted Probability in flipping a coin Sep22 accepted Why are these two events not independent? Sep20 accepted Why aren't these events mutually exclusive? Sep19 accepted Probability question at listing number of outcomes in the sample space.