ANSWER
[tex]3.35[/tex]EXPLANATION
To find the expected number of complaints per day, we have to find the sum of the products of each number of complaints and their probabilities:
[tex]E(X)=\sum ^{}_{}x_i\cdot P(x_i)[/tex]Therefore, the expected number of complaints is:
[tex]\begin{gathered} E(X)=(0\cdot0.02)+(1\cdot0.08)+(2\cdot0.19)+(3\cdot0.24)+(4\cdot0.27)+(5\cdot0.11)+ \\ (6\cdot0.09) \\ E(X)=0+0.08+0.38+0.72+1.08+0.55+0.54 \\ E(X)=3.35 \end{gathered}[/tex]That is the answer.
