https://www.statlect.com/glossary/absolutely-continuous-random-variable. this function f is known as Probability density function of the given random variable X. constant probability density function, equal to intervals of numbers. While that might sound complicated, it amounts to just ordering the data \(x_1, x_2, \ldots, x_n\) to get the order statistics \(y_1\le y_2\le \ldots \le y_n\). One randomly selected hamburger might weigh 0.23 pounds while another might weigh 0.27 pounds. that f(x) = \(\left\{\begin{matrix} 3x &0\leq x\leq 1 \\ x+1 & 1< x\leq 2\\ 0& otherwise \end{matrix}\right.\) of a discrete random variable by simply changing the summations that appeared in the discrete case to integrals in the continuous case. The cumulative distribution function of a uniform random variable \(X\) is: for two constants \(a\) and \(b\) such that \(a0\) over the support \(a for random. 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