4.2.13 D Assigned Media Question Help Use the data in the following table, which

Question

4.2.13 D Assigned Media Question Help Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains Assume that orders are randomly selected trom those included in the table Drive-thru Restaurant o Order Accurate 340 277 248132 Order Not Accurate30 56 3813 If two orders are selected, find the probability that they are both from Restaurant D a. Assume that the selections are made with replacement Are the events independent? b. Assume that the selections are made without replacement Are the events independent? a. Assume that the selections are made with replacement Are the events independent? DT ncependent because cr 0 sing the first Order " The probability of getting two orders from Restaurant D is (Round to four decimal places as needed) events the choice of the second order

Explanation / Answer

1.P(2 selected orders&both from D)= Total orders from D C 2 / Total orders C 2

=(132+13) C 2 / (340+30+277+56+248+38+132+13) C 2

= 145C2 / 1134C2

=0.0163

a. Assume that the selection are made with replacement. Are the events independent? YES

Since the replacement will make the pool to be reformed again and as given in the question the orders are randomly selected these events are independent because choosing the first order doesn't affects the choice of the second order.

b.Assume that the selection are made without replacement. Are the events independent? NO

Since here the non replacement will not make the pool to be reformed again these events are not independent because choosing the first order affects the choice of the second order selection.

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!

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