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 279 50 239 30 137 16 317 Order Accurate Order Not Accurate 32 If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below a. Assume that the selections are made with replacement. Are the events independent? The probability is . The eventsY independent a.) are not b.) are (Round to three decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? The probability is The events a.) are not b.) are L-independent (Round to three decimal places as needed.)

Explanation / Answer

From the given data

a) Assume that the selection are made with replacement.
The probabilty is (972/1100)*(972/1100) = 0.780813. The events are independent

b) Assume that the selection are made without replacement
The probabity is (972/1100)*(971/1099) = 0.78072. The events are not independent

Drive - thru Restaurant A B C D Total Order Accurate 317 279 239 137 972 Order Not Accurate 32 50 30 16 128 Total 349 329 269 153 1100

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