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(Solved): (b) Given the continuous uniform distribution f(x)={ba1,0,fora<x<belsewher ...



(b) Given the continuous uniform distribution
\[
f(x)=\left\{\begin{array}{cc}
\frac{1}{b-a}, & \text { for } a<x<b \\
0, & \

(b) Given the continuous uniform distribution show that


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To find the variance of a continuous uniform distribution, we can use the following formula:

Var(X) = [(b - a)²] / 12

where 'a' and 'b' are the lower and upper bounds of the distribution, respectively.

To prove this, we start by calculating the mean of ...
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