Given:
The probability distribution table values are given.
To find:
The mean
Explanation:
Using the mean formula,
[tex]\mu=\sum_{\text{ }}^{\text{ }}x\cdot P(x)[/tex]Substituting the given values we get,
[tex]\begin{gathered} \mu=0(0.25)+1(0.3)+2(0.05)+3(0.4) \\ =0+0.3+0.1+1.2 \\ =1.6 \end{gathered}[/tex]Therefore, the mean for the given data is 1.6.
Final answer:
The mean for the given data is 1.6.
