Use the data in the following table, which lists drive-thru order accuracy at po
ID: 2921969 • Letter: U
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. If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? The probability of getting an order from Restaurant A or an order that is accurate is ...? Round to 3 decimal places.
Restaurant A Restaurant B Restaurant C Restaurant D
Order Accurate 321 276 235 126
Order Not Accurate 32 56 40 11
Explanation / Answer
The probability of getting an order that is accurate = (321 + 276 + 235 + 126) / (321 + 276 + 235 + 126 + 32 + 56 + 40 + 11) = 0.8733
The two events are not disjoint because there are 321 orders that satisfy both.
Probability of getting an order from restaurant A that is not accurate
= 32 / (321 + 276 + 235 + 126 + 32 + 56 + 40 + 11) = 0.0292
=> Probability of getting an order from restaurant A or an order that is accurate = 0.8733 + 0.0292 = 0.9025.
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