A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component. Receiver: Kenwood, Onkyo, Sony, Sherwood Compact disc player: Onkyo, Pioneer, Sony, Technics Speakers: Boston, Infinity, Polk Turntable: Onkyo, Sony, Teac, Technics A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules to answer the following questions. (a) In how many ways can one component of each type be selected? | 192 ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 12 ways (c) In how many ways can components be selected if none is to be Sony? 81 ways (d) In how many ways can a selection be made if at least one Sony component is to be included? 27 (e) If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one Sony component? Exactly one Sony component? (Round your answer to three decimal places.) at least one Sony component exactly one Sony component

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

I need help with D and E

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers,
turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Onkyo, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of
each type). Use the product rules to answer the following questions.
(a) In how many ways can one component of each type be selected?
192
ways
(b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?
12
ways
(c) In how many ways can components be selected if none is to be Sony?
81
ways
(d) In how many ways can a selection be made if at least one Sony component is to be included?
27
(e) If someone flips switches on the selection in a completely random fashion, what is the probability that the system
selected contains at least one Sony component? Exactly one Sony component? (Round your answer to three decimal
places.)
at least one Sony component
exactly one Sony component
Transcribed Image Text:A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component. Receiver: Kenwood, Onkyo, Sony, Sherwood Compact disc player: Onkyo, Pioneer, Sony, Technics Speakers: Boston, Infinity, Polk Turntable: Onkyo, Sony, Teac, Technics A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules to answer the following questions. (a) In how many ways can one component of each type be selected? 192 ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 12 ways (c) In how many ways can components be selected if none is to be Sony? 81 ways (d) In how many ways can a selection be made if at least one Sony component is to be included? 27 (e) If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one Sony component? Exactly one Sony component? (Round your answer to three decimal places.) at least one Sony component exactly one Sony component
Expert Solution
Step 1 : Inroduction

Combination :

A combination is a mathematical technique for determining the number of potential arrangements in a set of things where the order of the items is irrelevant. Put the things in whatever order as like in a combination.
Permutations and combinations can be confused. 

Statistics homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman