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mat2378-assignment2-no_sol

# mat2378-assignment2-no_sol - Assignment 2 Due date 7...

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Assignment 2 Due date: 7 October 2009 Total number of points: 34 Q 1. The three events are shown on the Venn diagram: A B C Reproduce the figure and shade the region corresponding to the following events: (a) A c (b) ( A and B ) or ( A and B c ) (c) ( A and B ) or C (d) ( B or C ) c (e) ( A and B ) c and C Q 2. (Q3.5) In a certain college, 55% of the students are women. We take a sample of two students. Find the probability that (a) both are women; (b) at least on of the two students is a woman. Q 3. If P ( A ) = 0 . 3, P ( B ) = 0 . 2, and P ( A B ) = 0 . 1, determine the following probabilities: (a) P ( A c ) (b) P ( A or B ) (c) P ( A c and B ) (d) P ( A and B c ) (e) P (( A or B ) c ) (f) P ( A c or B ) Q 4. In a study of the relationship between health risk and income, a large group of people were asked a series of questions. Some of the responses are shown in the following table: Income Low Medium High Smoke 634 332 247 Don’t smoke 1846 1622 1868 (a) What is the probability that someone in this study smokes? (b) What is the conditional probability that someone in this study smokes, given that the person has high income?

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mat2378-assignment2-no_sol - Assignment 2 Due date 7...

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