Question

In: Statistics and Probability

Fast Food Drive-Thru Accuracy If two orders are selected, find the probability that they are both from Wendy’s.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.


McDonald's

Burger King

Wendy's

Taco Bell

Order Accurate

329

264

249

145

Order Not Accurate

33

54

31

13

  1. Fast Food Drive-Thru Accuracy If two orders are selected, find the probability that they are both from Wendy’s.


  1. Assume that the selections are made with replacement. Are the events independent?

  2. If 2 orders are placed without replacement, what is the probability that all orders are from Wendy’s?

  3. Assume that the selections are made without replacement. Are the events independent?

  4. If one order is selected, find the probability of getting an order from McDonald’s or Wendy’s or an order that IS NOT accurate.


Solutions

Expert Solution

The 2 way table is:

Order Accurate 329 264 249 145 987
Order Not Accurate 33 54 31 13 131
362 318 280 158 1118

Assume that the selections are made with replacement. Are the events independent?

318/1118 * 318/1118 = 0.0809

Yes, the events are independent

If 2 orders are placed without replacement, what is the probability that all orders are from Wendy’s?

318/1118 * 317/1117 = 0.0807

No, the events are not independent

Assume that the selections are made without replacement. Are the events independent?

No, the events are not independent

If one order is selected, find the probability of getting an order from McDonald’s or Wendy’s or an order that IS NOT accurate.

329/1118 + 264/1118 + 131/1118 = 0.6476


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