Question: Problem 6 (5 points) Difficulty level: hard Consider the class of functions defined as: Fx(x)=0, x50 Fx(x)=() , 0 0 are parameters. Show that Fx(x)

Problem 6 (5 points) Difficulty level: hard Consider the class of functions defined as: Fx(x)=0, x50 Fx(x)=(") ", 00 are parameters. Show that Fx(x) is a valid CDF for any a 0, B20. Hint: You need to show that Fx(x) satisfies the requirements: 1) Fx(x)-0 as x->-co, Fx(x)-1 as x->too. Also check that O Fx(x) $ 1. 2) Fx(x) is right continuous, and 3) Fx(x) is non-decreasing on (0; B). The only hard part is showing continuity. Fx(x) is strictly continuous: the only issue is to check that it is continuous at x=0 and x= B

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