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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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