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.
Order Accurate
Order Not Accurate
Drive-thru Restaurant
C
233
38
A
320
39
B
273
50
D
145
13
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
The events
independent
because choosing the first order
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
because choosing the first order
(Do not round until the final answer. Round to four decimal places as needed.)
The events
independent
the probability of the choice of the second order.
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. Order Accurate Order Not Accurate Drive-thru Restaurant C 233 38 A 320 39 B 273 50 D 145 13 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 The events independent because choosing the first order 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 because choosing the first order (Do not round until the final answer. Round to four decimal places as needed.) The events independent the probability of the choice of the second order.
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