Розрахунок: HLWkXH - 1

DX =
(x1-EX)^²* p1+ (x2-EX)^²* p2+ (x3-EX)^²* p3

DX = (x1-EX)^²* p1+ (x2-EX)^²* p2+ (x3-EX)^²* p3$$DX$$ = $$(x1-EX)^{2}\cdot p1+(x2-EX)^{2}\cdot p2+(x3-EX)^{2}\cdot p3$$

DX = x1^²* p1- 2* x1* EX* p1+ EX^²* p1+ x2^²* p2- 2* x2* EX* p2+ EX^²* p2+ x3^²* p3- 2* x3* EX* p3+ EX^²* p3$$DX$$ = $$x1^{2}\cdot p1-2\cdot x1\cdot EX\cdot p1+EX^{2}\cdot p1+x2^{2}\cdot p2-2\cdot x2\cdot EX\cdot p2+EX^{2}\cdot p2+x3^{2}\cdot p3-2\cdot x3\cdot EX\cdot p3+EX^{2}\cdot p3$$

DX = p1* x1^²- 2* EX* p1* x1+ EX^²* p1+ p2* x2^²- 2* EX* p2* x2+ EX^²* p2+ p3* x3^²- 2* EX* p3* x3+ EX^²* p3$$DX$$ = $$p1\cdot x1^{2}-2\cdot EX\cdot p1\cdot x1+EX^{2}\cdot p1+p2\cdot x2^{2}-2\cdot EX\cdot p2\cdot x2+EX^{2}\cdot p2+p3\cdot x3^{2}-2\cdot EX\cdot p3\cdot x3+EX^{2}\cdot p3$$