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Probability and Statistics 2. The pdf of a random variable X is given by a+bx Osx51 0 otherwise a) The E(X) is Find a and

Probability and Statistics

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2. The pdf of a random variable X is given by a+bx Osx51 0 otherwise a) The E(X) is Find a and b. (Hint: [ f (x)=1 and [ xf (x)=_2) 0 b) Find the variance of X. c) Set up the equation to find the moment generating function of X. d) Find the median of X

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