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Use the data in the following table, which lists drive-thru order accuracy at po

ID: 3048507 • Letter: U

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

C

D

Order Accurate

317

274

242

142

Order Not Accurate

30

55

36

16

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 _____

(Round to four decimal places as needed.)

Drive-thru Restaurant   

A

B

C

D

Order Accurate

317

274

242

142

Order Not Accurate

30

55

36

16

Explanation / Answer

a) Yes as the composition remains same as prior to events therefore probbaility will remain same and hence events are independent.

b) No as change in composition will change the probability from event to event of a outcome therefore events are not independent

a)The probability of getting two orders from Restaurant D is =(158/1112)*(158/1112) =0.0202

( please revert if there are other subparts

A B C D Total Order Accurate 317 274 242 142 975 Order Not Accurate 30 55 36 16 137 Total 347 329 278 158 1112
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