At a Furniture Factory,tables Must Be Assembled,finished,and Packaged Before They

Multiple Choice

At a furniture factory,tables must be assembled,finished,and packaged before they can be shipped to stores.Based on past experience,the manager finds that the means and standard deviations (in minutes) of the times for each phase are as shown in the table: $$\begin{array} { l | l | l } \text { Phase } & \text { Mean } & \text { SD } \\\hline \text { Assembly } & 26.5 & 2.6 \\\text { Finishing } & 35.5 & 3.2 \\\text { Packaging } & 16.0 & 2.3\end{array}$$ Find the probability that a table can be prepared for shipping in less than 67.61 minutes.Assume that the times for each phase are independent and that the times for each phase follow a Normal model.

A) 0.014
B) 0.023
C) 0.986
D) 0.045
E) 0.955