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 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? 96 Xways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 8 ✔ways (c) In how many ways can components be selected if none is to be Sony? 36 Xways (d) In how many ways can a selection be made if at least one Sony component is to be included? 60 x (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 ene Sery component (Round your answer to three decimal places.) 60 x at least one Sony component 42 exactly one Sony component X Master

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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
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?
96
X ways
(b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?
8
✔ways
(c) In how many ways can components be selected if none is to be Sony?
36
x ways
(d) In how many ways can a selection be made if at least one Sony component is to be included?
60
x
(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 Sery component
(Round your answer to three decimal places.)
60
x
at least one Sony component
42
exactly one Sony component
x
Master
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 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? 96 X ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 8 ✔ways (c) In how many ways can components be selected if none is to be Sony? 36 x ways (d) In how many ways can a selection be made if at least one Sony component is to be included? 60 x (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 Sery component (Round your answer to three decimal places.) 60 x at least one Sony component 42 exactly one Sony component x Master
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