Question: Let X be a continuous random variable following a cumulative probability distribution given by 1 _ _ 2::- F(x) {1 x2 forx _ 1 0

Let X be a continuous random variable following a cumulative probability distribution given by 1 _ _ 2::- F(x) {1 x2 forx _ 1 0 otherwise 1) Derive the expression of the probability density function, f(X), and plot its graph. 2) Find the probability of the event {X > a}. 3) Calculate E[X] and E[X2]

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