Homework: sec. 4.2 & 4.3 core: 0 of 1 pt 2.13 Use the data in the following tabl
ID: 3056993 • Letter: H
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Homework: sec. 4.2 & 4.3 core: 0 of 1 pt 2.13 Use the data in the following table, which lsts drive -thru order accuracy at popular fast food chains. Assume hat orders are randomly selected from those includod in he table Save 7 of 21 (8 complete) HY Score: 28.57%, 6 of 21 pts Question Help Drive-thru Restaurant a Order Not Accurate 32 34 two orders are selected, find the probablity that wy aro bet, 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 selections are made with replacement Am the overts independent? independent because choosing the first order the choice of the second order. The probabilty of going two orders from Restaurant D isThe evens Round to four decimal places as needed)Explanation / Answer
a)
total number of orders are 314 + 280 + 249 + 130 + 32 + 55 + 34 + 13 = 1107
total number of orders at restaurant D = 143
If the selection of two orders is done with replacement, then probability of selecting an order from restaurant D in each selection is 143/1107
Required probability = 143/1107 * 143/1107 = 0.0167
If the selections are made with replacement, then the events are independent.
b)
If the selections are made without replacement, probaility of selecting an order from restaurant D in first selection is 143/1107
and in second selection is 142/1106
Required probability = 143/1107 * 142/1106 = 0.0166
Events are not independent because the occurance of first events cause the change in the probability of the second.
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