To find:
The mean of the given probabiity distribution.
Solution:
It is known that the mean of a probability distribution is given by:
[tex]Mean=\sum x\cdot P(x)[/tex]
For the question, the mean is:
[tex]\begin{gathered} Mean=0\times0.3+1\times0.05+2\times0.2+3\times0.45 \\ =0+0.05+0.4+1.35 \\ =1.8 \end{gathered}[/tex]
Thus, the mean is 1.8.
