Graclardslin Graclardslin

03-02-2017
Mathematics

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A random variable x is best described by a continuous uniform distribution from 20 to 45 inclusive. the mean of this distribution is

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LammettHash LammettHash

06-02-2017

[tex]f_X(x)=\begin{cases}\dfrac1{45-20}=\dfrac1{25}&\text{for }20\le x\le45\\0&\text{otherwise}\end{cases}[/tex]

The mean is given by

[tex]\displaystyle\mathbb E(X)=\int_{-\infty}^\infty x f_X(x)\,\mathrm dx=\int_{20}^{45}\dfrac x{25}\,\mathrm dx=\dfrac{65}2[/tex]

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