The mean is the sum of the products of x and p(x). That is
[tex]\mu =\sum \left(x\cdot p\left(x\right)\right)[/tex]
[tex]\mu =0\left(0.15\right)+1\left(0.20\right)+2\left(0.30\right)+3\left(0.10\right)+4\left(0.20\right)+5\left(0.05\right)[/tex]
[tex]\mu =2.15[/tex]
The mean is 2.15.
