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QUESTION

The random variable X has PDF f(x) = 2xe-x^2 , where x 0. a) Draw a random sample of size 1000 from this distribution.

, where x > 0. a) Draw a random sample of size 1000 from this distribution. b) Draw a histogram of the 1000 sampled values and obtain the sample mean and SD. c) Using the sample obtained, draw a histogram and calculate mean and variance for 1000 sampled values for random variable Y = X2.

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