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I like to understand 5D AND 6 A . What is the probab (11 total marks) 5. The Math Club is picking names out of

I like to understand 5D AND 6 A .

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What is the probab (11 total marks) 5. The Math Club is picking names out of a hat to determine who will serve as the Executive for their group. The person whose name is drawn first will serve as the President, and the person whose name is drawn second will be Vice-President. The Math Club has 13 members: 5 members whose focus of study is Statistics and 8 members whose focus of study is Calculus. [Hint: A tree diagram would be helpful in analyzing this problem. ] What is the probability that: (2 marks) a. Both members chosen for the executive have Calculus as their focus of study? (5 marks) b. Any one member of the Executive has Statistics as a focus, and the other has Calculus as a focus? (2 marks) c. The chosen President has Calculus as a focus and the chosen Vice-President has Statistics as a focus? (2 marks) d. At least one member of the chosen Executive has a focus in Calculus? (6 total marks) 6. A survey questioned 200 individuals regarding their intention to vote (Conservative, Liberal or Other) in an upcoming election. It was found that 50% of the sample planned to vote Conservative and 40% planned to vote Liberal. Fifty percent of the men indicated that they planned to vote Liberal, and forty percent of the men planned to vote Conservative. Overall, 30% of the sample were women. (5 marks) a. Construct a two-way classification for these survey results. (1 mark) b. Circle True (T) or False (F) for the following statement: T F.) In this example, male and female are complementary events. athematics 215: Introduction to Statistics Assignment 2 Mathematics 215: Introduction to Statistics Assignment 2

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