11. Let f(z) and F() denote, respectively, the PDF and the CDF (cumulative distribution function) of a random variable X. The conditional PDF of X given X > 2o, where zo is a fixed 1 mmber, is defined as f(r X > ro) = f(x)/[1 – F (ro)], forr> ro, and zero elsewhere. Show that, if F(ro) < 1, then f (rX> ro) is a PDF of a random variable.

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A: It is an important part of statistics. It is widely used.

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