(Step-by-Step) Show that the uniform distribution random variable X with probability density function f(x)= (1)/(B-A) if A≤ x≤ B , 0 otherwise , has
Question: Show that the uniform distribution random variable X with probability density function
\[f\left( x \right)=\left\{ \begin{aligned} & \frac{1}{B-A}\,\,\,\,\,\,\,\,\,\,\,\,\text{if A}\le x\le B \\ & 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text{otherwise} \\ \end{aligned} \right.\,\,\,\,\,\]
has expected value
\[E\left( X \right)=\frac{A+B}{2}\]
Deliverable: Word Document 
(Solution Library) Determine whether the given function is a probability
![[Steps Shown] Determine whether the given function](/images/solutions/MC-solution-library-41719.jpg "[Steps Shown] Determine whether the given function is a probability")
[Steps Shown] Determine whether the given function is a probability
![[Solved] Determine whether the given function is](/images/solutions/MC-solution-library-41720.jpg "[Solved] Determine whether the given function is a probability")
[Solved] Determine whether the given function is a probability
(All Steps) The following is a density function: f(x)= 1/3 2≤
![[Solution] The following is a density function:](/images/solutions/MC-solution-library-41722.jpg "[Solution] The following is a density function: f(x)= (3)/(x^4)")
[Solution] The following is a density function: f(x)= (3)/(x^4)
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