Recent content by silkdigital

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    How Do You Find the PDF of Z and Calculate Mean and Variance Using MGF?

    Figured out second question now, pretty straightforward in hindsight. Any help on the first one? ;)
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    How Do You Find the PDF of Z and Calculate Mean and Variance Using MGF?

    Hi guys, I'm really stuck on the following questions, not sure as to how to approach it: Let X and Y be random variables for which the joint pdf is as follows: f(x,y) = 2(x+y) for 0 <= x <= y <= 1 and 0 otherwise. Find the pdf of Z = X + Y And also: Suppose that X is a random variable for...
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    What Is the Probability a Lemon Dreamboat Car Came from Factory A?

    Yes I realized it now. I guess I misinterpreted the question. I did the same thing and ended with 0.2, for the envelope question I realized matches only exist for even k when k>=4 (ie 4,6,8,10) and all marginal probabilities add to 1. Thanks for the help guys!
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    What Is the Probability a Lemon Dreamboat Car Came from Factory A?

    Question: Dreamboat cars are produced at three different factories A, B, and C. Factory A produces 20% of the total output of Dreamboats, B 50%, and C 30%. However, 5% of the cars at A are lemons, 2% at B are lemons, 10% at C are lemons. If you buy a Dreamboat and it turns out to be a lemon...
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