Question: Suppose X has density function f (x) = 4x 3 for 0 < x < 1 and 0 otherwise. Find (a) The distribution function, (b)

Suppose X has density function f (x) = 4x3 for 0 < x < 1 and 0 otherwise. Find

(a) The distribution function,

(b) P (X < 1/2),

(c) P (1/3 < X < 2/3),

(d) The median.

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