Four employees who work as drive-through attendants at a local fast-food restaurant are being evaluated.As part of a quality improvement initiative and employee evaluation,these workers were observed over three days.One of the statistics collected was the proportion of time the employee forgot to include a napkin in the bag.Related information is given in the table. $\begin{array}{lcc}
&\text { o of Dinners }&\text { o of Dinners Packed }\
\text { Worker } & \text { Packed } & \text { with No Napkin } \
\text { Joe } & 25 \% & 6 \% \
\text { Jan } & 20 \% & 2 \% \
\text { Cheryl } & 20 \% & 10 \% \
\text { Clay } & 35 \% & 4 \%
\end{array}$
You just purchased a dinner and found that there is no napkin in your bag.What is the probability that Jan prepared your order?
A)0.200
B)0.004
C)0.018
D)0.076
E)0.100

Question

Quizplus · Accepted Answer

The probability that Jan prepared the order given that there is no napkin can be calculated using Bayes' theorem. The probability that Jan prepared the order is 20%, and the probability that Jan forgot the napkin is 2%. The total probability of no napkin is calculated by summing the probabilities of no napkin for all workers. Using these, the probability that Jan prepared the order is 0.076.

Four Employees Who Work as Drive-Through Attendants at a Local