Question

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

Order accurate order not accurate

A 323 36

B 279 52

C 234 38

D    126 14

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?

a. Assume that the selections are made with 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 ______does not affect affects the choice of the second order. ​(Round to four decimal places as​ needed.)

The probability of getting two orders from Restaurant D is ___ The events____ independent because choosing the first order

____the choice of the second order.

Answer 1

Ans:

	accurate	not accurate	Total
A	323	36	359
B	279	52	331
C	234	38	272
D	126	14	140
Total	962	140	1102

a)P(both are from D)=(140/1102)*(140/1102)=0.0161

The probability of getting two orders from Restaurant D is 0.0161. The events are independent because choosing the first order does not affect the choice of the second order.

b)

P(both are from D)=(140/1102)*(139/1101)=0.0160

The probability of getting two orders from Restaurant D is 0.0160. The events are not independent because choosing the first order affects the choice of the second order.