Round appropriately Question 30 Alex, Alica, and Juan fill orders in a fast-food
ID: 3369729 • Letter: R
Question
Round appropriately Question 30 Alex, Alica, and Juan fill orders in a fast-food restaurant. Ale ine reet y fis 20% of the on ers he takes Aed ins incorrecty fils S% of the orders he takes. Alex nis 30% of all order rect tasted-onan geta e a , Alicia fills 45% of all orders, and Juan fils 25% of all orders. An order has just been nned a. What is the probability that Alicia filled the order? (Round your answer to 2 decimal places.) b. If the order was fled by Juan, what is the probabilit y that it was filled correctly? (Round your answer to 2 decimal places.) c. who filed the order is unknown, but the order was ?¡led incorrectly. to 4 decimal places. your answers P(Alex) (Alicia) p(luan) -Explanation / Answer
a)p=0.45
b) p=1-0.05=0.95
c)p(alex)=0.3*0.2/(0.3*0.2+0.45*0.12+0.25*0.05)=0.4743
p(Alicia)=0.45*0.12/(0.3*0.2+0.45*0.12+0.25*0.05)=0.4269
p(Juan)=0.25*0.05/(0.3*0.2+0.45*0.12+0.25*0.05)=0.0988
d)
p(alex)=0.2748
p(Alicia)=0.4533
p(Juan)=0.2719
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