Example 5.2-1

>    f := (2/3)^(x-1)*(1/3);

f := 1/3*(2/3)^(x-1)

To show that this is indeed a p.d.f., sum f  from 1 to infinity .

>    sum(f, x = 1 .. infinity);

1

>    mu := sum(x*f, x = 1 .. infinity);

mu := 3

>    var := sum((x - mu)^2*f, x = 1 .. infinity);

var := 6

>    sigma := sqrt(var);

sigma := 6^(1/2)

>    sigma := evalf(sigma);

sigma := 2.449489743

>   

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