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, Sony, Sherwood Compact disc player: Onkyo, Pioneer, Sony, Technics Speakers: Boston, Infinity Turntable: anyo, 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? 95 J ways {b} In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? 3 '49 ways (c) In how many ways can components be selected if none is to be Sony? 35 J ways {d} In how many ways can a selection be made if at least one Sony component is to be included? 60 J {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 0.3?5 x exactly one Sony component 1. [4!!- Points] DETAILS PREVIOUS ANSWERS DEVDRESTATQ 2.3.030.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A Friend of mine is giving a dinner party. His current wine supply includes 11 bottles of Zinfandel. ? of merlot, and 9 of cabernet (he only drinks red wine}. all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? 990 J {b} If 6 bottles of wine are to be randomly selected from the 2? for serving, how many ways are there to do this? 295m 0 J (c) If 6 bottles are randomly selected. how many ways are there to obtain two bottles of each variety? 41530 J {cl} If 6 bottles are randomly selected. what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) 0.140 J (e) If 6 bottles are randomly selected. what is the probability that all of them are the same variety? (Round your answer to three decimal places.) 0.001 X