2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options. Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none of the options.
2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options. Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none of the options.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see
which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C),
were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had
A and C, 6 had B and C, 4 had all three options.
Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C
but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none
of the options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F704a64b5-5250-41d0-9c29-5aaf5a50e535%2Ffe84ef49-5a55-4a3f-9603-a0b5b4657746%2F0donv1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see
which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C),
were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had
A and C, 6 had B and C, 4 had all three options.
Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C
but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none
of the options.
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