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QUESTION 1) Use the data in the following? table, which lists? drive-thru order

ID: 2921996 • Letter: Q

Question

QUESTION 1) 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.

Restaurant A   Restaurant B   Restaurant C   Restaurant D
Order Accurate   337   272   239   127
Order Not Accurate   31   58   34   17

If one order is? selected, find the probability of getting an order from restaurant A or C or an order that is not accurate.
The probability of getting an order from restaurant A or C or an order that is not accurate is ...?

QUESTION 2) 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.
Restaurant A   Restaurant B   Restaurant C   Restaurant D
Order Accurate   333   263   239   130
Order Not Accurate   35   57   30   19

If three different orders are? selected, find the probability that they are all from restaurant C.

Explanation / Answer

1. The probability of getting an order that is not accurate = (31 + 58 + 34 + 17) / (31 + 58 + 34 + 17 + 337 + 272 + 239 + 127) = 0.1256.

Probability of getting an order from A or C which is accurate = (337 + 239) / (31 + 58 + 34 + 17 + 337 + 272 + 239 + 127) = 0.5166.

=> Probability of getting an order that is not accurate or from A or C = 0.1256 + 0.5166 = 0.6422.

2. There are a total of 239 + 30 = 269 orders from C.

There are a total of 333 + 263 + 239 + 130 + 35 + 57 + 30 + 19 = 1106 orders.

The probability that an order is from restaurant C = 269C3 / 1106C3 = 3208094 / 224871920 = 0.0142.

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