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A2 - Q1 A chest of drawers has 3 drawers Each drawer has 2...

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MATH 323 Assignment 2 Due Thursday, February 9, by 5pm. Assignments can either be handed in in class on the due date or they can be placed in the counter slot on the 10 th floor of Burnside Hall no later than 5pm on the due date. Late assignments will not be marked. Please ensure that your assignment has on the front page: your printed name, your student number, the course number (MATH 323), and my name as course instructor (David Wolfson). An answer alone is not sufficient. It is important that you give your reasoning in a clear and concise way. This practice is also more likely to ensure that you will get part marks if you get the wrong answer but use the right method. Most questions will be taken from the 7 th edition of Mathematical Statistics with Applications by Wackerley, Mendenhall and Scheaffer, which will be abbreviated to WMS.
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Unformatted text preview: Q1. A chest of drawers has 3 drawers. Each drawer has 2 boxes. The boxes of one drawer contain a silver coin in each respectively, the boxes of another a gold coin in each box, and the boxes of the third drawer a gold and a silver coin, respectively. A drawer is selected at random and a drawer from the box selected at random and opened. The coin is found to be silver. What is the probability that the coin of the other box is gold? (Harder problem) Q2. WMS p50 # 2.54 Q3. WMS p50 # 2.56 Q4. WMS p60 # 2.97 Q5. WMS p61 # 2.101 Q6. WMS p61 #2.102 Q7. WMS p62 # 2.104 Q8. WMS p69 # 2.118 Q9. WMS p69 # 2.120 Q10. WMS p74 # 2.128 Q11. WMS p75 # 2.134 Q12. Prove that if A, B, and C are independent, then AUB (A union B) is independent of C...
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