Question: Let X U[0,1] be uniformly distributed on [0, 1]. (X has density f (x) 1 on [0, 1], zero elsewhere.) Suppose X is

Let X » U[0,1] be uniformly distributed on [0, 1]. (X has density f (x) Æ 1 on [0, 1], zero elsewhere.) Suppose X is truncated to satisfy X · c for some 0 Ç c Ç 1.

(a) Find the density function of the truncated variable X.

(b) Find E[X j X · c].

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