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Homework in statistics ariant 14 1. Discrete distribution for X is given by the following table: Probabilities p Values X 0.2 40 0.1 0.5 4 0.1 50 0 20 10 20 Find distribution function fx) and median Me(x). Calculate expectation value (dispersion) D(X), standard error σ(X) , asymmetry coefficient As(X) and excess Ex(X) Mx), variance 2. Calculate multiplier k. Find distribution function fitz, mode Moty), median Meco, expectation M(x), variance (dispersion) D(x), standard error σ( for continuous distributions with the given probability densities a) x), asym b) r>0 163xs0 x <2 160 _x+--20 40 2 (x)- ρ(x) =|k(8x-r-12) 2 6 x バー16 x>6 x<-20 Calculate probability that r e [-16:6] Calculate probability that x e [1:4].

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