The mean is the point of balance, which is basically the center of mass if the probability density function was solid. Median = $\int_ {-\infty}^M f (x) dx = \frac {1} {2}$ or the area equals 1/2 (since the total …

However, from the conditional pdf that you gave for (2), how would I find the probability that I need to answer the question? Because from your expression I find 8xy/ (4x^3), which gives me (8*1/8) / …

Consider a continuous random variable X with probability density function given by $f(x)=cx$ for $1 \\le x \\le 5$, zero otherwise. Find the median. First I calculate ...

I have tried to calculate skewness and kurtosis directly from probability density function (PDF) without knowing the original data. I have many data sets and I have made PDFs from these data set and I …

Could you please change your $\Phi (x)$ notation to some other notation? $\Phi (x)$ is commonly used to denote the cumulative probability distribution function of the standard normal random variable, and …

Let $\langle\Omega,\mathscr {F},\mathbb {P}\rangle$ be a probability space, let $X$ be a random variable defined thereon with density $f$ and $\phi$ be its characteristic function.

Jan 27, 2015 · probability-theory probability-distributions See similar questions with these tags.

In principal you integrate from $-\infty$ to $\infty$, but since the joint density vanishes outside the interval $0\le y \le 1$, it is sufficient to integrate from $0$ to $1$, as Eckhard pointed out correctly.

Mar 10, 2014 · Calculating expected value and variance of a probability density function Ask Question Asked 11 years, 9 months ago Modified 11 years, 9 months ago

Is it possible to calculate probability density function from a data set of values? I assume this should be some kind of a function fitting exercise.