The table shows the results of a survey which lists drive-thru order accuracy at

Question

The table shows the results of a survey which lists drive-thru order accuracy at Grease in the Bag and Wally's Burger World. An order is selected randomly from the sample.

c) Find the probability that a randomly selected order was accurate and the order came from Grease in the Bag.

D) Are the events "Inaccurate Order" and "Wally's Burger World" independent or dependent events? Justify your answer mathematically.

Grease in the Bag Wally's Burger World Total accurate order 329 264 593 inaccurate order 31 56 87 total 360 320 680

Explanation / Answer

C) P( accurate and the order came from Grease in the Bag) =329/680 =0.484 (intersection of accurate and the order came from Grease in the Bag. divided by total)

D) P(Inaccurate Order)= 87/680

P(Wally's Burger World)=320/680

Also, P(Inaccurate Order AND Wally's Burger World) = 56/680

For independence, P(Inaccurate Order AND Wally's Burger World) should be P(Inaccurate Order)*P(Wally's Burger World) which is not true here. so they are not independent events

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