Probability Problem 1: Sum of Bernoulli Random Variables

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The discussion revolves around a probability problem involving the sum of Bernoulli random variables, specifically expressed as S = summation(i,m)XiYi. Participants are unable to view the problem due to an invalid attachment link, which has hindered responses. The lack of visibility of the problem is a significant barrier to providing assistance. Clarification or a working attachment is necessary for further discussion. Overall, the conversation highlights the importance of accessible problem statements in collaborative problem-solving.
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1. The problem is attached



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3. We can express S as the sum of the product of two Bernoulli random variables, X and Y. Then S = summation(i,m)XiYi
 

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I can't see your attachment, so don't know the problem. Perhaps that is the reason for no responses at this time.
 
This is what I see when I follow your second link.

Invalid Attachment specified
 
http://d.imagehost.org/view/0810/problem.jpg] [PLAIN]http://d.imagehost.org/t/0810/problem.jpg
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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