When a production process is wider than the tolerance interval, inspection rejects a low-end scrap fraction α with x x2. The surviving population has a new density function g(x) related to the original f (x) by a multiplier a. This is because any two observations xi and xj will have the same relative probability of occurrence as before. Show that

And

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F(x2)-F(x1) |-(α + β) f(x) f(x) 1-(α + β) F(X2)-F(x1) 0 g(x) = otherwise