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

Question

Use the data in the following table, which ists drive- thru order accuracy at popular fast food chains Assume that orders are selected from those included in the table Drive-thru Restaurant Order Accurate Order Not Accurate 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 ar e made without replacement. Are the events independent? a. Assume that the selections are made with replacement Are the events independent? ndependent because choosing the arst ordor The probability of getting two orders from Restaurant D isThe events Round to four decimal places as needed) ndependent because chossngthe fet er The probability of getting two orders from Restaurant D isThe events (Round to four decimal places as needed)

Explanation / Answer

from above:

a)

the probability of getting two orders from restaurant D is (165/1121)*(165/1121)= 0.0217. the events are independent because choosing the first order does not dependent on choice of the second order,

b)

the probability of getting two orders from restaurant D is (165/1121)*(164/1120)= 0.0216. the events are dependent because choosing the first order depends on choice of the second order,

A B C D total order accurate 317 272 244 148 981 order not accurate 33 56 34 17 140 total 350 328 278 165 1121

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