Processing math: 100%

Simulation Variables

Basis RVs

X(μi,σi)

R1(3,0.7)

R2(5,1.0)

H(20,2.0)

C(1,0.2)

Composite RVs

Z=(π/3)(R21+R1R2+R22)HC

Y=ln(Z)

Mean

ˉZ or Z

S.E.

SZ or ΣZ

Mean

ˉY or Y

S.D.

sY or σY

S.E.

SY or ΣY

Sample

n = 1706

982

38.56

6.57

0.72

0.017

Simulation

Log-Normal

n = 1,000,000

1057

0.42

6.89

0.38

0.00038

Theoretical Expectations

1057

0.41

6.89

0.38

0.00038

Simulation

Normal

n = 1,000,000

1057

0.40

6.89

0.39

0.00039

Theoretical Expectations

1061

0.43

6.89

0.39

0.00039

True Count

1111