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 O A B D 317 39 Order Accurate 134 20 265 244 Order Not Accurate 51 32 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?

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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
B
C
Order Accurate
317
265
244
134
Order Not Accurate
39
51
32
20
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?
Transcribed Image Text: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 B C Order Accurate 317 265 244 134 Order Not Accurate 39 51 32 20 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?
The probability of getting two orders from Restaurant D is 0.0206. The events
are
independent because choosing the first order does not affect the probability
of the choice of the second order.
(Do not round until the final answer. Round to four decimal places as needed.)
b. Assume that the selections are made without replacement. Are the events independent?
The probability of getting two orders from Restaurant D is 0.0205. The events are not independent because choosing the first order
affects
the probability
of the choice of the second order.
(Do not round until the final answer. Round to four decimal places as needed.)
Transcribed Image Text:a. Assume that the selections are made with replacement. Are the events independent? The probability of getting two orders from Restaurant D is 0.0206. The events are independent because choosing the first order does not affect the probability of the choice of the second order. (Do not round until the final answer. Round to four decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? The probability of getting two orders from Restaurant D is 0.0205. The events are not independent because choosing the first order affects the probability of the choice of the second order. (Do not round until the final answer. Round to four decimal places as needed.)
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