s Previous My Notes Ask A stereo store is offering a special price on a complete

Question

s Previous My Notes Ask 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 Compact disc player onkyo, pioneer, Sony, Tochnics Turntable: Onkyo, Sony, Teac Technics 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) la how many ways can one component of each type be selected? In how many ways can components be selected if both the receiver and the compact disc player are to be sony? v ways n how many ways can components be selected none is to be Sony? In how many ways can a coloction be made if at least one sony component is to be included? (e) tf someone fups 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

Explanation / Answer

A)Total ways of selection possible = 3x4x3x4 = 144

B) No of ways in which selection can be made if both reciever and CD player are of sony = 2x3 = 12

C) No of ways of selection possible I none are sony = 2x3x3x3 = 54

D) No of selections possible if at least 1 sony component is to be included = 144-54= 90

E) P(at least 1 sony component) = 90/144 = 0.625

P(exactly 1 sony component) =

(1x3x3x3 + 2x1x3x3 + 2x3x3x1)/144 = 0.4375

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