1)Let x be a uniform random variable over the interval (0, 1). Knowing that y = x2 , calculate: a)Determine Fy(Y) = P(y<=Y),Y real and determine the pdf of y. b)Calculate E[x2] , using the pdf of x. c)Calculate E[y], using the pdf of y and compare with part (b).

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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