Statistics Assignment Help With Class Symbols As Operators

Let us write symbolically

A.N = (A)

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Which means that the operation of dichotomizing N according to A given  the class frequency equal to (A). Similarly, we write

α.N = (α)

adding, we get

A.N + α.N = (A) + (α)

(A + α).N = (A) + (α)

(A + α).N = N

 A + α = 1

Thus in symbolic expression we can replace A by (1 - α) and α by (1 – A).

Similarly, B can be replaced by (1 – β) and β by (1-B) and so on.

Dichotomizing (B) according to A, let us write

A.(B) = (AB)

Similarly, B.(A) = (BA)

A.(B) = B.(A) = (AB) = AB.N

Which accounts to dichotomizing N according to AB.

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