help pls!!! thank u in advance, i appreciate it greatly
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.
1. What is the probability that Alicia filled the order? (Round your answers to 3 decimal places.)
2. Who filled the order is unknown, but the order was filled incorrectly. What are the revised probabilities that Alex, Alicia, or Juan filled the order?
p(Alex) =
p(Alicia) =
p(Juan) =
3. Who filled the order is unknown, but the order was filled correctly. What are the revised probabilities that Alex, Alicia, or Juan filled the order?
p(Alex) =
p(Alicia) =
p(Juan) =