Continuous random variable transformation and marginals

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The discussion centers on the correctness of a joint probability density function (pdf) and its support, which was initially misidentified as 0<y1y2<1 and 0<y2<1. The participant acknowledges that options B and C are incorrect because they do not integrate to 1. There is a request for clarification on the joint pdf and an offer to review the work if it is typed out, as the attached document is difficult to read. The focus remains on identifying simple mistakes in the calculations. The conversation emphasizes the importance of clear communication in mathematical discussions.
ricky78
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f21OP1g.png


On the attachment, I was told my joint pdf was right, but the support was NOT 0<y1y2<1 0<y2<1, so maybe it's right now?

Obviously B and C are incorrect, too, since they don't integrate to 1.

I'm probably making just a few simple mistakes. Thanks in advance!
 

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ricky78 said:
f21OP1g.png


On the attachment, I was told my joint pdf was right, but the support was NOT 0<y1y2<1 0<y2<1, so maybe it's right now?

Obviously B and C are incorrect, too, since they don't integrate to 1.

I'm probably making just a few simple mistakes. Thanks in advance!

I will look at your work if you type it out; I cannot decipher your attachment, and will not put in the time it would take me to try to read it; it comes out fuzzy and pale, almost unreadable.
 
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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