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

ID: 2922083 • 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   331   265   232   128
Order Not Accurate   39   51   35   19

If one order is? selected, find the probability of getting an order that is not accurate or is from Restaurant C. Are the events of selecting an order that is not accurate and selecting an order from Restaurant C disjoint? events?
The probability of getting an order from Restaurant C or an order that is not accurate is ...? Round to three decimal places.

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   322   268   230   142
Order Not Accurate   39   57   35   11

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 are made without replacement. Are the events? independent?
The probability of getting two orders from Restaurant D is ...? The events [ARE/ ARE NOT] independent because choosing the first order [AFFECTS/ DOES NOT AFFECT] the choice of the second order.
Round to 4 decimal places.

Explanation / Answer

1:

Following table shows the row and column total:

From table we have :

P(order not accurate) = 144/ 1100

P(Restaurant C) = 267 /1100

P(order not accurate and restaurant C) = 35/ 1100

So the probability of getting an order that is not accurate or is from Restaurant C is

P(order not accurate or restaurant C) = P(Restaurant C)+ P(order not accurate) -P(order not accurate and restaurant C) = 267/1100 + 144/1100 - 35/1100 = 376/1100 = 0.342

Since P(order not accurate and restaurant C) is not equal to zero so the events of selecting an order that is not accurate and selecting an order from Restaurant C are not disjoint? events.

Restaurant A Restaurant B Restaurant C Restaurant D Total Order Accurate 331 265 232 128 956 Order not accurate 39 51 35 19 144 Total 370 316 267 147 1100
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