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
	A	B	C	D
Order Accurate	328328	274274	235235	144144
Order Not Accurate	3535	5656	3434	1515

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

nothing.

The events

▼

are not

are

independent because choosing the first order

▼

does not affect

affects

the choice of the second order.

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

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

The probability of getting two orders from Restaurant D is

nothing.

The events

▼

are not

are

independent because choosing the first order

▼

affects

does not affect

the choice of the second order.

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

Answer 1

total number of orders=996121

total number of orders from restaurant D=145659

a. Assume that the selections are made with replacement.

The probability of getting two orders from Restaurant D is

independent because choosing the first order does not affect the choice of the second order.

a. Assume that the selections are made without replacement.

The probability of getting two orders from Restaurant D is

dependent because choosing the first order affects the choice of the second order.

the probability that they are both from Restaurant D(with replacement)=

the probability that they are both from Restaurant D(without replacement)=

(the values are same because the population is quite large)