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8. The continuous random variable X has probability density function given by. f(x) = (a) Sketch f(x) showing clearly the points where it meets the x-axis. (2) (b) Write down the value of the mean, (, of X. (1) (c) Show that E(X 2) = 9.8. (4) (d) Find the standard deviation, (, of X. (2) The cumulative distribution function of X is given by . F ... ................
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