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Alex, Alicia, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Alicia incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Alicia fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. If the order was filled by Juan, what is the probability that it was filled correctly?

Answer :

abiolataiwo2015

If Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Alicia fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. If the order was filled by Juan, the probability that it was filled correctly is: 0.95.

Probability

In order to determine the probability that it was filled correctly we would have to make use of complementary rule  formula

P(Correct/Juan)=1-P(Incorrect/Juan)

Where:

P(Correct/Juan)=?

P(Incorrect/Juan)=5% or 0.05

Let plug in the formula

P(Correct/Juan)=1-0.05

P(Correct/Juan)=0.95

Therefore if Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Alicia fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. If the order was filled by Juan, the probability that it was filled correctly is: 0.95.

Learn more about Probability here:https://brainly.com/question/24756209

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