#### Answer

a. m=5
b. 0

#### Work Step by Step

We are given $f(x)=\frac{1}{10}; [0;10]$
The expected value $\mu=5$
a. The median is
$\int^{m}_{0}f(x)dx = \frac{1}{2}$
$\int^{m}_{0}\frac{1}{10} dx= \frac{1}{2}$
$\frac{1}{10}m - 0= \frac{1}{2}$
$m=5$
b. The probability between mean and median
$P(5 \leq X \leq 5)=\int^{5}_{5}\frac{1}{10}dx =\frac{1}{10}x|^{5}_{5}=0$