Suncast Cable offers high definition (HD) cable TV, Internet and phone services to its customers. For those service issues that can be resolved by calling its technical
Support center, Suncast's goal is to have the problem solved within 30 minutes. In order
To determine how well it is achieving this goal, they monitored calls to its technical
Support center over the last three months. The data compiled is shown in the table below.
What is the probability that a call to the technical support center involved an issue with
Internet service or was not resolved within 30 minutes? $$\begin{array} { | l | l | l | l | }
\hline \text { Problem Resolved? } & \text { HD cable TV } & \text { Internet } & \text { Phone } \
\hline \text { Yes } & 123 & 350 & 77 \
\hline \text { No } & 115 & 122 & 63 \
\hline
\end{array}$$

Question

Suncast Cable offers high definition (HD) cable TV, Internet and phone services to its customers. For those service issues that can be resolved by calling its technical
Support center, Suncast's goal is to have the problem solved within 30 minutes. In order
To determine how well it is achieving this goal, they monitored calls to its technical
Support center over the last three months. The data compiled is shown in the table below.
What is the probability that a call to the technical support center involved an issue with
Internet service or was not resolved within 30 minutes? $$\begin{array} { | l | l | l | l | } 
\hline \text { Problem Resolved? } & \text { HD cable TV } & \text { Internet } & \text { Phone } \
\hline \text { Yes } & 123 & 350 & 77 \
\hline \text { No } & 115 & 122 & 63 \
\hline
\end{array}$$

Quizplus · Accepted Answer

To find the probability that a call involved an issue with Internet service or was not resolved within 30 minutes, we first calculate the total number of calls and then the number of calls that fit the criteria. Total calls = (123 + 350 + 77) + (115 + 122 + 63) = 850Calls involving Internet issues = 350 + 122 = 472Calls not resolved within 30 minutes (regardless of service) = 115 + 122 + 63 = 300However, the calls with Internet issues that were not resolved within 30 minutes are counted in both categories, so we don't need to add them again. Thus, the number of calls that either involved Internet issues or were not resolved within 30 minutes = 472 + 300 - 122 = 650Probability = 650 / 850 = 0.76

Suncast Cable Offers High Definition (HD) Cable TV, Internet and Phone