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QUESTION
Let X be a non-central \chi ^2 (5, \lambda ) random variable, and Y, independent of X, be a \chi ^2 (4) random variable.
Let X be a non-central (5, ) random variable, and Y, independent of X, be a (4) random variable.
a) Derive the moment generating function of 2X-1, and find its mean and variance.
b) Find the mean of W =
