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

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 325 276 234 150

Order Not Accurate 37 59 33 10

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?

The probability of getting two orders from Restaurant D is __________.

The events are ________ because choosing the first order does not affect 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 ________.

The events are not independent because choosing the first order affects the choice of the second order. (Round to four decimal places as needed.)

Explanation / Answer

Ans:

a)With rpelacement:

P(both from D)=(160/1124)*(160/1124)=0.0203

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

b)Without replacement

P(both from D)=(160/1124)*(159/1123)=0.0202

The events are not independent because choosing the first order affects the choice of the second order.

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