An Automotive Center Keeps Tracks of Customer Complaints Received Each

Multiple Choice

An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as the table shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.

$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x_{i} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\begin{array}{c}\end{array} & & & & & & & \\\hline & & & & & & & \\& & & & & & & \\\begin{array}{c}\end{array} p( x_i) & .10 & .15 & .18 & .20 & .20 & .10 & .07 \\\hline\end{array}$

What is the average number of complaints received per week?

A) 2.12
B) 3.32
C) 4.12
D) 2.83