Question

In: Statistics and Probability

Please show calculations: Use the data in the following​ table, which lists​ drive-thru order accuracy at...

Please show calculations:

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.

​Drive-thru Restaurant   

A

B

C

D

Order Accurate

338338

279279

248248

140140

Order Not Accurate

3535

5757

3434

1717

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

nothing.

​(Round to three decimal places as​ needed.)

Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint​ events?

The events

are not

are

disjoint because it

is

is not

possible to

receive an accurate order from Restaurant A.

pick an order from Restaurant B, C, or D.

pick an inaccurate order.

Solutions

Expert Solution

Total order = 338 + 279 + 248 + 140 + 35 + 57 + 34 + 17 = 1148

P(order from restaurant A or accurate) = P(order from restaurant A) + P(accurate order) - P(order from restaurant A and accurate)

                                                              = (338 + 35) / 1148 + (338 + 279 + 248 + 140) / 1148 - 338 / 1148

                                                              = 0.906

The events are not disjoint because it is possible to receive an accurate order from restaurant A.


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