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 ABCDOrder Accurate333267249149Order Not Accurate32523619 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?

Answered: are selected, find the probability…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 48E

See similar textbooks

Related questions

Concept explainers

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	333	267	249	149
Order Not Accurate	32	52	36	19

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?

Expert Solution

Step 1

Given:

Total no of orders = Accurate orders + Not accurate orders = 333+267+249+149+32+52+36+19=1137
Total orders from D = Accurate orders of D + Not accurate orders of D = 149+19=168

If two orders are randomly selected with replacement, the probability that they are both from Restaurant D is calculated as:

$P r o b a b i l i t y = P (F i r s t o r d e r f r o m D) \times P (2 n d o r d e r f r o m D) = \frac{168}{1137} \times \frac{168}{1137} = 0.02183$
The events can be considered as independent events because selecting the first order does not affect the probability of the selecting second order.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions