consider the given uniform density curve. what is the value of the mean? 4.25 4.5 4.75 5

Answer:

4.5

Explanation:

Step1: Recall mean formula for uniform distribution

For a uniform distribution on interval $[a,b]$, mean $\mu=\frac{a + b}{2}$.

Step2: Identify $a$ and $b$ values

Here $a = 3$ and $b=6$.

Step3: Calculate the mean

$\mu=\frac{3 + 6}{2}=\frac{9}{2}=4.5$