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}$

The area under the normal curve represents probability, and the total area under the curve sums to:
A) 0
B) 0.5
C) 1
D) 2

Question

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}$

The area under the normal curve represents probability, and the total area under the curve sums to:
A) 0
B) 0.5
C) 1
D) 2

Quizplus · Accepted Answer

The total area under the normal curve represents the probability of all possible outcomes, which must be between 0 and 1. Therefore, the sum of all probabilities must be 1.

An Automotive Center Keeps Tracks of Customer Complaints Received Each