Let Y1 and Y2 have the following joint PDF: Yi > 0 f(y1, y2) = Ske-(91+3y3), 10, otherwise 1.1 Find k such that f is a v

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Let Y1 And Y2 Have The Following Joint Pdf Yi 0 F Y1 Y2 Ske 91 3y3 10 Otherwise 1 1 Find K Such That F Is A V 1 (188.54 KiB) Viewed 145 times

Let Y1 and Y2 have the following joint PDF: Yi > 0 f(y1, y2) = Ske-(91+3y3), 10, otherwise 1.1 Find k such that f is a valid joint PDF. 1.2 Find the marginal PDFs of Yį and Y2. What kind of distributions are these? Specify their parameters. 1.3 Find the conditional PDF of Y1 given Y2 = y2. Make sure to specify the range of Yi. 1.4 What is P(3 < Y1 < 5) and P(3<Y1 < 5|Y2 = 2). < 1.5 Are Yị and Y2 independent? Justify your answer.