In: Statistics and Probability
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 |
Fast Food Drive-Thru Accuracy If two orders are selected, find the probability that they are both from Wendy’s.
Assume that the selections are made with replacement. Are the events independent?
If 2 orders are placed without replacement, what is the probability that all orders are from Wendy’s?
Assume that the selections are made without replacement. Are the events 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.
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