2. ) A group of 200 year 7 students are asked if they owned a dog or a cat. Thirty-two (32) own both a dog and a cat, 25 students only have a cat and 95 students own a dog. Produce a Venn diagram to represent this situation. Devise a set of questions to ask a friend about the Venn diagram. Include some set notation and some probability questions.

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 group of 200 year 7 students are asked if they owned a dog or a cat. Thirty-two (32) own both a dog and a cat, 25 students only have a cat and 95 students own a dog. Produce a Venn diagram to represent this situation. Devise a set of questions to ask a friend about the Venn diagram. Include some set notation and some probability questions.

 

The other questions in the picture are questions 3 and 4. Please answer correctly. These are only 3 questions. Make sure to do a Venn diagram for each of these problems, please only answer if you can answer these 3 Questions. Don't answer if you can't answer these please.

In a Board Examination for Certified Plant Mechanic, 119 examinees took the Shop Machinery subject, 104 examinees took the Power Plant Machinery subject, and 115 examinees took the Industrial Plant Machinery subject. Seventy-eight (78) conditioned examinees took Shop Machinery and Power Plant Machinery subjects, 71 took Power Plant Machinery and Industrial Machinery subjects, 85 examinees took Industrial Machinery and Shop Machinery subjects, and 54 examinees took all the three subjects. How many examinees took the Certified Plant Mechanic Board Examination?
Transcribed Image Text:In a Board Examination for Certified Plant Mechanic, 119 examinees took the Shop Machinery subject, 104 examinees took the Power Plant Machinery subject, and 115 examinees took the Industrial Plant Machinery subject. Seventy-eight (78) conditioned examinees took Shop Machinery and Power Plant Machinery subjects, 71 took Power Plant Machinery and Industrial Machinery subjects, 85 examinees took Industrial Machinery and Shop Machinery subjects, and 54 examinees took all the three subjects. How many examinees took the Certified Plant Mechanic Board Examination?
**Survey Results of Student Bank Savings**

In a survey involving 150 students, the following data was collected regarding their savings in different banks:

- **72 students** saved with Bank A.
- **89 students** saved with Bank B.
- **75 students** saved with Bank C.
- **27 students** saved with both Bank A and Bank B.
- **30 students** saved with both Bank A and Bank C.
- **50 students** saved with both Bank B and Bank C.
- **10 students** saved with all three banks: A, B, and C.

**Tasks: Determine the number of students who:**

a. Saved with at least one of the banks.

b. Saved with exactly one of the banks.

c. Saved with exactly two of the banks.

d. Did not save with any of the banks.
Transcribed Image Text:**Survey Results of Student Bank Savings** In a survey involving 150 students, the following data was collected regarding their savings in different banks: - **72 students** saved with Bank A. - **89 students** saved with Bank B. - **75 students** saved with Bank C. - **27 students** saved with both Bank A and Bank B. - **30 students** saved with both Bank A and Bank C. - **50 students** saved with both Bank B and Bank C. - **10 students** saved with all three banks: A, B, and C. **Tasks: Determine the number of students who:** a. Saved with at least one of the banks. b. Saved with exactly one of the banks. c. Saved with exactly two of the banks. d. Did not save with any of the banks.
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