In: Statistics and Probability
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.
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.