Question

O 4 points 1 Previos Anerern Deoet 2 E32 A stereo store is offering a special price on a complete set of compenents (recelver, compact disc player, speakers, turntable) A purchaser is offered a choice of manufacturer for each component My No Receiver: Kenwood, 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 folowing questions: (a) In how many ways can one component of each type be selected ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Seny x ways (e) tn how many ways can components be selected if none is to be Seny? 3 ways (d) tn how many ways can a selection be made if at least one Sony component is to be included ays (e) If someone fips switches on the selection in a completely random fashion,, what is the probabity that the system selected contains at least one Sany compenent? Exactly one Sony conponent? (Round your answer to three decimal places.) at least one Seny component 825 exactly ane Sony companent 0375 Need Help?" eing Saved mo evaLat epoe Sabest Ans Practon Another Verson

Answer 1

One Component bave each type of We choices 4 for Peceiver choices for Compact player 2 disc choices for ichoices. Speakers and 4 for ast thing. Total Ways 3 X 4 x 2X 4 - If Recelver and ompact disc player are to be Sony for Speakers So bave choices 2 We last thing. and 4 choices for ways 4x2 be to IF sony. DoDe total 2 x 3 X 2 x 3 Then ways = 36 ways companent is least at а) oDe of Sony calculate to First DODE We Sony be part (e previous 3G Nays get We Erom total. jt from ways subtract We component eacb selecting. of part (e) from Total Ways = 96 least component one at For Ways 96-36 Sony bе to - nays

At least Sony component oDe from part (d Probability bәve We ways o. G 25 96 Exactly coponent one Sony make Ne cases : Receiver sony case Іх ЗX 2 ХЗ - Ways 1 |8 i) Compact disc player case Sony X 2 X 3 - 2 2 X Ways iii Tuentable sony case ways : 2 X 3 x 2 X | 12 Total l8 2 2 Ways 42 42 96 Probability O 4375