Question

4. Complete the example on the continuous Uniform distribution by showing that its variance is $\sigma^2 = \frac{1}{12}(b - a)^2$ Hint: notice that $b^3 - a^3 = (b - a)[(a + b)^2 - ab]$.

          4. Complete the example on the continuous Uniform distribution by showing that its variance is
$\sigma^2 = \frac{1}{12}(b - a)^2$
Hint: notice that $b^3 - a^3 = (b - a)[(a + b)^2 - ab]$.

4. Complete the example on the continuous Uniform distribution by showing that its variance is
σ^2 = (1)/(12)(b - a)^2
Hint: notice that b^3 - a^3 = (b - a)[(a + b)^2 - ab].

Added by Molly S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Zafir Momin

06/15/2021

Step 1

Step 1: We know that the variance of a continuous uniform distribution is given by: $$ \sigma^2 = \frac{1}{12}(b-a)^2 $$ where $a$ is the lower bound and $b$ is the upper bound of the distribution. Show more…

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4. Complete the example on the continuous Uniform distribution by showing that its variance is $$ \sigma^2 = \frac{1}{12}(b-a)^2 $$ Hint: notice that $b^3 - a^3 = (b-a)[(a+b)^2 - ab]$.