Assignment 2 - MAT2378B: Assignment 1 Due date: 07 October...

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MAT2378B: Assignment 1 Due date: 07 October 2009 Total number of points: 34 Q 1. The three events are shown on the Venn diagram: aA ±² A aA ±² B aA ±² C Reproduce the Fgure 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. ±ind 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 and 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
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Assignment 2 - MAT2378B: Assignment 1 Due date: 07 October...

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