The three most popular options on a certain type of new carare a built-in GPS (A), a
Chapter 2, Problem 25(choose chapter or problem)
The three most popular options on a certain type of new carare a built-in GPS (A), a sunroof (B), and an automatictransmission (C). If 40% of all purchasers request A, 55%request B, 70% request C, 63% request A or B, 77% requestA or C, 80% request B or C, and 85% request A or B or C,determine the probabilities of the following events. [Hint:A or B is the event that at least one of the two options isrequested; try drawing a Venn diagram and labeling allregions.]a. The next purchaser will request at least one of the threeoptions.b. The next purchaser will select none of the three options.c. The next purchaser will request only an automatic transmissionand not either of the other two options.d. The next purchaser will select exactly one of these threeoptions.
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