der the random variable X with density function f (x) = x² for –1< x <1 (an | other values of X). Determine the values of Y for which the transformed random variab X² is non zero. 1

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A: Given information: The number X is chosen at random between 0 and 1.  fx=11-0,…

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A: Given problem is :

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A: The joint density function for  and  is

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Q: (a) Let Z = vX. Show that the density function of Z is given by %3| (-). fz(z) = 2a exp z > 0.

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A: The given probability density function (PDF) is:f(x;θ)=302e^-θ3for0x∞,otherwise

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A:

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A: Solution-: Describe the types of probability samples and discuss under which conditions they may be…

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A:

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A: The probabiilty density function of Y is,