Question: Let X be the continuous random variable having the following probability density function. a. What is the value of k? k f(x) = 1+x2'

Let X be the continuous random variable having the following probability density function. a. What is the value of k? k f(x) = 1+x2' > x > - b. Determine E[X] if exists or show that E[X] does not exist. C. Determine the cumulative distribution function of X. d. Let Y = X. Determine the probability density function of Y, denoted by fy(y).

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