Suppose X has density function f (x) = x/2 for 0 < x < 2 and 0

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Suppose X has density function f (x) = x/2 for 0 < x < 2 and 0 otherwise. Find

(a) The distribution function,

(b) P (X < 1),

(c) P (X > 3/2),

(d) The median.

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