Question

Use the data in the following table, which lists drive thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive thru Restaurant A B С D Order Accurate 331 269 245 144 Order Not Accurate 34 53 30 18 If two orders are selected, find the probability that they are both accurate Complete parts (a) and (b) below. a. Assume that the selections are made with replacement. Are the events independent? The probability is The events independent (Round to three decimal places as needed) b. Assume that the selections are made without replacement. Are the events independent? The probability is The events Independent (Round to three decimal places as needed.) ary

Answer 1

Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you

a. The probability is (331+269+245+144)C2 / (331+269+245+144+34+53+30+18)C2
= 989C2/1124C2
= 488566/631126
= 0.774

Answer: The probability is 0.774. The events are independent.

(why are they independent - because the selection is with replacement, which means a draw does not have an effect on previous draw)

b.

This can be calculated as:
= (989/1124)*(988/1123)
= 0.774

Answer: The probability is 0.774. The events IS NOT independent.

Answer 2

311+267+233+124