{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# assignment 2 answers - Assignment 3 Due date 7 October 2009...

This preview shows pages 1–3. Sign up to view the full content.

Assignment 3 Due date: 7 October 2009 Total number of points: 33 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 Solution to Q1: Marking scheme for Q1: Correct answer for each part - 1 point. Total - 5 points. Q 2. (Q3.6) 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. Solution to Q2: (a) 0 . 55 × 0 . 55 = 0 . 3025 (b) 0 . 55 × 0 . 55 + 0 . 45 × 0 . 55 + 0 . 45 × 0 . 55 = 0 . 7975 Marking scheme for Q2: Correct answer for each part - 1 point. Total - 2 points. 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 ) Solution to Q3: (a) P ( A c ) = 1 - P ( A ) = 0 . 7 (b) P ( A or B ) = P ( A ) + P ( B ) - P ( A and B ) = 0 . 4 (c) P ( A c and B ) = P ( B ) - P ( A and B ) = 0 . 1 (draw a Venn diagram to see this) (d) P ( A and B c ) = P ( A ) - P ( A and B ) = 0 . 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(e) P (( A or B ) c ) = 1 - P ( A or B ) = 1 - 0 . 4 = 0 . 6 (f) P ( A c or B ) = P ( A c ) + P ( B ) - P ( A c and B ) = 0 . 7 + 0 . 2 - 0 . 1 = 0 . 8 Marking scheme for Q3: Correct answer for each part - 1 point. Total - 6 points.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}