You own a company that employs three salespeople, Quentin, Michael and Bubba. Qu

Question

You own a company that employs three salespeople, Quentin, Michael and Bubba. Quentin makes 30% of the sales, Michael 45%, and Bubba 25%. While they are all competent, they do not enjoy completing the paperwork on their sales as required by the SEC. Of the sales Quentin makes, he completes paperwork 90% of the time. When Michael makes a sale, he completes the paperwork 80% of the time. WhenBubba makes a sale, he completes paperwork 85% of the time. You were recently fined by the SEC for this reason, and have instituted tough new policies on this manner.

What is the probability of paperwork not being completed for a sale?

Explanation / Answer

Probability of paperwork not being completed for a sale

P(X) = 0.3*(1-0.9)+0.45*(1-0.8)+0.25*(1-0.85) = 0.1575 => 15.75 %

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