Weibull Distribution CDF Calculator Weibull Distribution CDF Calculator Calculate the cumulative distribution function (CDF) for a Weibull distribution: $$ F(x;k,\lambda)=1-e^{-(x/\lambda)^k},\quad x\ge0. $$ * Enter the value \( x \) (with \( x\ge0 \)), shape parameter \( k \) ( \( k>0 \) ), and scale parameter \( \lambda \) ( \( \lambda>0 \) ). Step […]
Read MoreWeibull Distribution PDF Calculator Weibull Distribution PDF Calculator Calculate the probability density function (PDF) for a Weibull distribution: $$ f(x;k,\lambda)=\frac{k}{\lambda}\left(\frac{x}{\lambda}\right)^{k-1}e^{-(x/\lambda)^k},\quad x\ge0. $$ * Enter the value \( x \) ( \( x \ge 0 \) ), shape parameter \( k \) ( \( k>0 \) ), and scale parameter \( \lambda \) ( \( \lambda>0 […]
Read MoreTriangular Distribution Sample Generator Triangular Distribution Sample Generator Generate random samples from a Triangular distribution using: If \( U < \frac{c-a}{b-a} \): $$ x = a + \sqrt{U\,(b-a)(c-a)}; $$ Otherwise: $$ x = b – \sqrt{(1-U)(b-a)(b-c)}. $$ * Enter the parameters \( a \), \( c \) (with \( a \le c \le b \)), […]
Read MoreTriangular Distribution Variance Calculator Triangular Distribution Variance Calculator Calculate the variance of a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \): $$ \sigma^2 = \frac{a^2 + b^2 + c^2 – ab – ac – bc}{18}. $$ * Enter values such that \( a \le c \le […]
Read MoreTriangular Distribution Mode Calculator Triangular Distribution Mode Calculator For a triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \), the mode is simply \( c \). * Enter the values such that \( a \le c \le b \). Formula: \( \text{Mode} = c \). Step 1: […]
Read MoreTriangular Distribution Median Calculator Triangular Distribution Median Calculator Calculate the median of a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \). * Enter values such that \( a \leq c \leq b \). The median \( m \) is given by: If \( c \ge \frac{a+b}{2} […]
Read MoreTriangular Distribution Mean Calculator Triangular Distribution Mean Calculator Calculate the mean of a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \): $$ \mu = \frac{a+b+c}{3}. $$ * Enter the values \( a \), \( c \) (with \( a \le c \le b \)), and \( […]
Read MoreTriangular Distribution CDF Calculator Triangular Distribution CDF Calculator Calculate the cumulative distribution function (CDF) for a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \). * Enter the values \( a \), \( c \) (with \( a \le c \le b \)), \( b \), and […]
Read MoreTriangular Distribution PDF Calculator Triangular Distribution PDF Calculator Calculate the probability density for a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \). * Enter the values \( a \), \( c \) (with \( a \leq c \leq b \)), \( b \), and a value […]
Read MoreCauchy Distribution Variance Calculator Cauchy Distribution Variance Calculator The variance of a Cauchy distribution is undefined due to its heavy tails. * Enter the location \( x_0 \) and scale \( \gamma \) (γ > 0) for reference. Step 1: Enter Parameters Location, \( x_0 \): e.g., 0 Scale, \( \gamma \): e.g., 1 (γ […]
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