Question

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food...

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

340340

273273

246246

141141

Order Not Accurate

4040

6060

3939

1313

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

nothing.

The events

are

are not

independent because choosing the first order

does not affect

affects

the choice of the second order.

​(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

nothing.

The events

are not

are

independent because choosing the first order

does not affect

affects

the choice of the second order.

Homework Answers

Answer #1

Total orders = 340 + 273 + 246 + 141 + 40 + 60 + 39 + 13 = 1152

Total orders from restaurant D = 141 + 13 = 154

a) The events are not independent because choosing the first order does not affect the choice of the second order.

P(both orders are from restaurant D) = (154 / 1152)2 = 0.0179

b) The events are independent because choosing the first order affects the choice of the second order.

P(both orders are from restaurant D) = (154/1152) * (153/1151) = 0.0178

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