Four employees who work as drive-through attendees at a local fast food restaura

Question

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated. As a part of quality improvement initiative and employee evaluation these workers were observed over three days. One of the statistics collected is the proportion of time employee forgets to include a napkin in the bag. Related information is given in the table. Worker Proportion of Dinners Packed Proportion forgetting Napkin when packing Dinner

Joe 0.20 0.08

Jan 0.25 0.04

Cheryl 0.15 0.12

Clay 0.40 0.04

You just purchased a dinner and found that there is no napkin in your bag, what is the probability that Clay has prepared your order?  

Explanation / Answer

Here we have purchased a dinner and found there is no napkin in bag.

Pr(No napkin l Clay ) = Pr (No napkin and CLay)/ Pr (Clay) = 0.04/0 .40= 0.10

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