Let X be a continuous random variable. The probability density func- tion of X is given by (see picture) Find the probability density function of Y = X3. How to solve this question.  In the question is also asks Do you recognize the special distribution of Y? What do they mean by this?

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A: The variance of Z is calculated as V(Z) = E(Z2) - (E(Z))2 And SD = √(V(Z))

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A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted. 

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A: Solution is given:

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A: Which of the following sampling plans does not  use random methods of selections?  

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